Greatest Common Factor of 7964/17, 9696/719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7964/17, 9696/719

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 7964/17,9696/719

Given fractions are 7964/17,9696/719

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 7964,9696

Greatest Common Factor of Numerators i.e. GCF of 7964,9696 is 4 .

LCM of Denominators means LCM of 17,719 as per the given fractions.

LCM of 17,719 is 12223 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7964,9696

GCF of Fractions 7964/17,9696/719 is 4/12223

2 7964, 9696
2 3982, 4848
1991, 2424

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

Greatest Common Factor of 7964,9696 By Matching Biggest Common Factor Method

Greatest Common Factor of 7964,9696 By Matching Biggest Common Factor Method

Factors of 7964

List of positive integer factors of 7964 that divides 7964 without a remainder.

1,2,4,11,22,44,181,362,724,1991,3982,7964

Factors of 9696

List of positive integer factors of 9696 that divides 9696 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96,101,202,303,404,606,808,1212,1616,2424,3232,4848,9696

Greatest Common Factor

We found the factors 7964,9696 . The biggest common factor number is the GCF number.
So the greatest common factor 7964,9696 is 4.

Lets's calculate LCM of 17,719

Given numbers has no common factors except 1. So, there LCM is their product i.e 12223

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/12223

Therefore, the GCF of Fractions 7964/17,9696/719 is 4/12223

Least Common Multiple of 17,719 with GCF Formula

Least Common Multiple of 17,719 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 17,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,719) = 1

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

GCF(17,719) x common factors =1 x 1 = 1

LCM(17,719) = ( 17 × 719 ) / 1

LCM(17,719) = 12223 / 1

LCM(17,719) = 12223


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 7964/17, 9696/719

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 7964/17, 9696/719?

Answer: GCF of Numerators as per given numbers 7964/17, 9696/719 is

GCF of Numerators i.e. for 7964,9696 is 4

LCM of denominators i.e. for 17,719 is 12223.

Thus, GCF of Fractions is 4/12223.Finally, GCF of Fractions for 7964/17, 9696/719 is 4/12223.