Greatest Common Factor of 71/3, 14/2, 73/4, 51/3, 151/2, 55/7, 22/1, 776/7, 16/9, 86/4

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/3, 14/2, 73/4, 51/3, 151/2, 55/7, 22/1, 776/7, 16/9, 86/4

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 71/3,14/2,73/4,51/3,151/2,55/7,22/1,776/7,16/9,86/4

Given fractions are 71/3,14/2,73/4,51/3,151/2,55/7,22/1,776/7,16/9,86/4

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 71,14,73,51,151,55,22,776,16,86

Greatest Common Factor of Numerators i.e. GCF of 71,14,73,51,151,55,22,776,16,86 is 1 .

LCM of Denominators means LCM of 3,2,4,3,2,7,1,7,9,4 as per the given fractions.

LCM of 3,2,4,3,2,7,1,7,9,4 is 252 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,14,73,51,151,55,22,776,16,86

GCF of Fractions 71/3,14/2,73/4,51/3,151/2,55/7,22/1,776/7,16/9,86/4 is 1/252

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 71,14,73,51,151,55,22,776,16,86 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,14,73,51,151,55,22,776,16,86 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Greatest Common Factor

We found the factors 71,14,73,51,151,55,22,776,16,86 . The biggest common factor number is the GCF number.
So the greatest common factor 71,14,73,51,151,55,22,776,16,86 is 1.

Lets's calculate LCM of 3,2,4,3,2,7,1,7,9,4

2 3, 2, 4, 3, 2, 7, 1, 7, 9, 4
2 3, 1, 2, 3, 1, 7, 1, 7, 9, 2
3 3, 1, 1, 3, 1, 7, 1, 7, 9, 1
7 1, 1, 1, 1, 1, 7, 1, 7, 3, 1
1, 1, 1, 1, 1, 1, 1, 1, 3, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 3 x 1 = 252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/252

Therefore, the GCF of Fractions 71/3,14/2,73/4,51/3,151/2,55/7,22/1,776/7,16/9,86/4 is 1/252

Least Common Multiple of 3,2,4,3,2,7,1,7,9,4 with GCF Formula

Least Common Multiple of 3,2,4,3,2,7,1,7,9,4 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 3,2,4,3,2,7,1,7,9,4 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,2,4,3,2,7,1,7,9,4) = 1

common factors(in case of two or more numbers have common factors) = 1008

GCF(3,2,4,3,2,7,1,7,9,4) x common factors =1 x 1008 = 1008

LCM(3,2,4,3,2,7,1,7,9,4) = ( 3 × 2 × 4 × 3 × 2 × 7 × 1 × 7 × 9 × 4 ) / 1008

LCM(3,2,4,3,2,7,1,7,9,4) = 254016 / 1008

LCM(3,2,4,3,2,7,1,7,9,4) = 252


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 71/3, 14/2, 73/4, 51/3, 151/2, 55/7, 22/1, 776/7, 16/9, 86/4

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 71/3, 14/2, 73/4, 51/3, 151/2, 55/7, 22/1, 776/7, 16/9, 86/4?

Answer: GCF of Numerators as per given numbers 71/3, 14/2, 73/4, 51/3, 151/2, 55/7, 22/1, 776/7, 16/9, 86/4 is

GCF of Numerators i.e. for 71,14,73,51,151,55,22,776,16,86 is 1

LCM of denominators i.e. for 3,2,4,3,2,7,1,7,9,4 is 252.

Thus, GCF of Fractions is 1/252.Finally, GCF of Fractions for 71/3, 14/2, 73/4, 51/3, 151/2, 55/7, 22/1, 776/7, 16/9, 86/4 is 1/252.