Greatest Common Factor of 9914/63, 7960/566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9914/63, 7960/566

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 9914/63,7960/566

Given fractions are 9914/63,7960/566

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 9914,7960

Greatest Common Factor of Numerators i.e. GCF of 9914,7960 is 2 .

LCM of Denominators means LCM of 63,566 as per the given fractions.

LCM of 63,566 is 35658 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9914,7960

GCF of Fractions 9914/63,7960/566 is 2/35658

2 9914, 7960
4957, 3980

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

Greatest Common Factor of 9914,7960 By Matching Biggest Common Factor Method

Greatest Common Factor of 9914,7960 By Matching Biggest Common Factor Method

Factors of 9914

List of positive integer factors of 9914 that divides 9914 without a remainder.

1,2,4957,9914

Factors of 7960

List of positive integer factors of 7960 that divides 7960 without a remainder.

1,2,4,5,8,10,20,40,199,398,796,995,1592,1990,3980,7960

Greatest Common Factor

We found the factors 9914,7960 . The biggest common factor number is the GCF number.
So the greatest common factor 9914,7960 is 2.

Lets's calculate LCM of 63,566

Given numbers has no common factors except 1. So, there LCM is their product i.e 35658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35658

Therefore, the GCF of Fractions 9914/63,7960/566 is 2/35658

Least Common Multiple of 63,566 with GCF Formula

Least Common Multiple of 63,566 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 63,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,566) = 1

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

GCF(63,566) x common factors =1 x 1 = 1

LCM(63,566) = ( 63 × 566 ) / 1

LCM(63,566) = 35658 / 1

LCM(63,566) = 35658


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 9914/63, 7960/566

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 9914/63, 7960/566?

Answer: GCF of Numerators as per given numbers 9914/63, 7960/566 is

GCF of Numerators i.e. for 9914,7960 is 2

LCM of denominators i.e. for 63,566 is 35658.

Thus, GCF of Fractions is 2/35658.Finally, GCF of Fractions for 9914/63, 7960/566 is 2/35658.