Greatest Common Factor of 9616/969, 6924/991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9616/969, 6924/991

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 9616/969,6924/991

Given fractions are 9616/969,6924/991

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 9616,6924

Greatest Common Factor of Numerators i.e. GCF of 9616,6924 is 4 .

LCM of Denominators means LCM of 969,991 as per the given fractions.

LCM of 969,991 is 960279 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9616,6924

GCF of Fractions 9616/969,6924/991 is 4/960279

2 9616, 6924
2 4808, 3462
2404, 1731

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9616,6924 By Matching Biggest Common Factor Method

Greatest Common Factor of 9616,6924 By Matching Biggest Common Factor Method

Factors of 9616

List of positive integer factors of 9616 that divides 9616 without a remainder.

1,2,4,8,16,601,1202,2404,4808,9616

Factors of 6924

List of positive integer factors of 6924 that divides 6924 without a remainder.

1,2,3,4,6,12,577,1154,1731,2308,3462,6924

Greatest Common Factor

We found the factors 9616,6924 . The biggest common factor number is the GCF number.
So the greatest common factor 9616,6924 is 4.

Lets's calculate LCM of 969,991

Given numbers has no common factors except 1. So, there LCM is their product i.e 960279

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/960279

Therefore, the GCF of Fractions 9616/969,6924/991 is 4/960279

Least Common Multiple of 969,991 with GCF Formula

Least Common Multiple of 969,991 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 969,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,991) = 1

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

GCF(969,991) x common factors =1 x 1 = 1

LCM(969,991) = ( 969 × 991 ) / 1

LCM(969,991) = 960279 / 1

LCM(969,991) = 960279


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 9616/969, 6924/991

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 9616/969, 6924/991?

Answer: GCF of Numerators as per given numbers 9616/969, 6924/991 is

GCF of Numerators i.e. for 9616,6924 is 4

LCM of denominators i.e. for 969,991 is 960279.

Thus, GCF of Fractions is 4/960279.Finally, GCF of Fractions for 9616/969, 6924/991 is 4/960279.