Greatest Common Factor of 634/59, 9738/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 634/59, 9738/516

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 634/59,9738/516

Given fractions are 634/59,9738/516

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 634,9738

Greatest Common Factor of Numerators i.e. GCF of 634,9738 is 2 .

LCM of Denominators means LCM of 59,516 as per the given fractions.

LCM of 59,516 is 30444 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 634,9738

GCF of Fractions 634/59,9738/516 is 2/30444

2 634, 9738
317, 4869

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 634,9738 By Matching Biggest Common Factor Method

Greatest Common Factor of 634,9738 By Matching Biggest Common Factor Method

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 9738

List of positive integer factors of 9738 that divides 9738 without a remainder.

1,2,3,6,9,18,541,1082,1623,3246,4869,9738

Greatest Common Factor

We found the factors 634,9738 . The biggest common factor number is the GCF number.
So the greatest common factor 634,9738 is 2.

Lets's calculate LCM of 59,516

Given numbers has no common factors except 1. So, there LCM is their product i.e 30444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30444

Therefore, the GCF of Fractions 634/59,9738/516 is 2/30444

Least Common Multiple of 59,516 with GCF Formula

Least Common Multiple of 59,516 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 59,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,516) = 1

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

GCF(59,516) x common factors =1 x 1 = 1

LCM(59,516) = ( 59 × 516 ) / 1

LCM(59,516) = 30444 / 1

LCM(59,516) = 30444


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 634/59, 9738/516

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 634/59, 9738/516?

Answer: GCF of Numerators as per given numbers 634/59, 9738/516 is

GCF of Numerators i.e. for 634,9738 is 2

LCM of denominators i.e. for 59,516 is 30444.

Thus, GCF of Fractions is 2/30444.Finally, GCF of Fractions for 634/59, 9738/516 is 2/30444.