Greatest Common Factor of 14/64, 33/31, 95/29, 60/847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/64, 33/31, 95/29, 60/847

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 14/64,33/31,95/29,60/847

Given fractions are 14/64,33/31,95/29,60/847

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 14,33,95,60

Greatest Common Factor of Numerators i.e. GCF of 14,33,95,60 is 1 .

LCM of Denominators means LCM of 64,31,29,847 as per the given fractions.

LCM of 64,31,29,847 is 48732992 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,33,95,60

GCF of Fractions 14/64,33/31,95/29,60/847 is 1/48732992

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

Greatest Common Factor of 14,33,95,60 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,33,95,60 By Matching Biggest Common Factor Method

Factors of 14

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

1,2,7,14

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Greatest Common Factor

We found the factors 14,33,95,60 . The biggest common factor number is the GCF number.
So the greatest common factor 14,33,95,60 is 1.

Lets's calculate LCM of 64,31,29,847

Given numbers has no common factors except 1. So, there LCM is their product i.e 48732992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48732992

Therefore, the GCF of Fractions 14/64,33/31,95/29,60/847 is 1/48732992

Least Common Multiple of 64,31,29,847 with GCF Formula

Least Common Multiple of 64,31,29,847 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 64,31,29,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,31,29,847) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(64,31,29,847) x common factors =1 x 1 = 1

LCM(64,31,29,847) = ( 64 × 31 × 29 × 847 ) / 1

LCM(64,31,29,847) = 48732992 / 1

LCM(64,31,29,847) = 48732992


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 14/64, 33/31, 95/29, 60/847

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 14/64, 33/31, 95/29, 60/847?

Answer: GCF of Numerators as per given numbers 14/64, 33/31, 95/29, 60/847 is

GCF of Numerators i.e. for 14,33,95,60 is 1

LCM of denominators i.e. for 64,31,29,847 is 48732992.

Thus, GCF of Fractions is 1/48732992.Finally, GCF of Fractions for 14/64, 33/31, 95/29, 60/847 is 1/48732992.