Greatest Common Factor of 34/56, 81/28, 49/71, 645/63

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/56, 81/28, 49/71, 645/63

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 34/56,81/28,49/71,645/63

Given fractions are 34/56,81/28,49/71,645/63

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 34,81,49,645

Greatest Common Factor of Numerators i.e. GCF of 34,81,49,645 is 1 .

LCM of Denominators means LCM of 56,28,71,63 as per the given fractions.

LCM of 56,28,71,63 is 35784 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,81,49,645

GCF of Fractions 34/56,81/28,49/71,645/63 is 1/35784

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

Greatest Common Factor of 34,81,49,645 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,81,49,645 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Greatest Common Factor

We found the factors 34,81,49,645 . The biggest common factor number is the GCF number.
So the greatest common factor 34,81,49,645 is 1.

Lets's calculate LCM of 56,28,71,63

2 56, 28, 71, 63
2 28, 14, 71, 63
7 7, 14, 71, 63
1, 2, 71, 9

∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 2 x 71 x 9 = 35784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35784

Therefore, the GCF of Fractions 34/56,81/28,49/71,645/63 is 1/35784

Least Common Multiple of 56,28,71,63 with GCF Formula

Least Common Multiple of 56,28,71,63 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 56,28,71,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,28,71,63) = 1

common factors(in case of two or more numbers have common factors) = 196

GCF(56,28,71,63) x common factors =1 x 196 = 196

LCM(56,28,71,63) = ( 56 × 28 × 71 × 63 ) / 196

LCM(56,28,71,63) = 7013664 / 196

LCM(56,28,71,63) = 35784


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 34/56, 81/28, 49/71, 645/63

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 34/56, 81/28, 49/71, 645/63?

Answer: GCF of Numerators as per given numbers 34/56, 81/28, 49/71, 645/63 is

GCF of Numerators i.e. for 34,81,49,645 is 1

LCM of denominators i.e. for 56,28,71,63 is 35784.

Thus, GCF of Fractions is 1/35784.Finally, GCF of Fractions for 34/56, 81/28, 49/71, 645/63 is 1/35784.