Greatest Common Factor of 4716/764, 5222/7987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4716/764, 5222/7987

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 4716/764,5222/7987

Given fractions are 4716/764,5222/7987

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 4716,5222

Greatest Common Factor of Numerators i.e. GCF of 4716,5222 is 2 .

LCM of Denominators means LCM of 764,7987 as per the given fractions.

LCM of 764,7987 is 6102068 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4716,5222

GCF of Fractions 4716/764,5222/7987 is 2/6102068

2 4716, 5222
2358, 2611

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

Greatest Common Factor of 4716,5222 By Matching Biggest Common Factor Method

Greatest Common Factor of 4716,5222 By Matching Biggest Common Factor Method

Factors of 4716

List of positive integer factors of 4716 that divides 4716 without a remainder.

1,2,3,4,6,9,12,18,36,131,262,393,524,786,1179,1572,2358,4716

Factors of 5222

List of positive integer factors of 5222 that divides 5222 without a remainder.

1,2,7,14,373,746,2611,5222

Greatest Common Factor

We found the factors 4716,5222 . The biggest common factor number is the GCF number.
So the greatest common factor 4716,5222 is 2.

Lets's calculate LCM of 764,7987

Given numbers has no common factors except 1. So, there LCM is their product i.e 6102068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6102068

Therefore, the GCF of Fractions 4716/764,5222/7987 is 2/6102068

Least Common Multiple of 764,7987 with GCF Formula

Least Common Multiple of 764,7987 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 764,7987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,7987) = 1

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

GCF(764,7987) x common factors =1 x 1 = 1

LCM(764,7987) = ( 764 × 7987 ) / 1

LCM(764,7987) = 6102068 / 1

LCM(764,7987) = 6102068


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 4716/764, 5222/7987

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 4716/764, 5222/7987?

Answer: GCF of Numerators as per given numbers 4716/764, 5222/7987 is

GCF of Numerators i.e. for 4716,5222 is 2

LCM of denominators i.e. for 764,7987 is 6102068.

Thus, GCF of Fractions is 2/6102068.Finally, GCF of Fractions for 4716/764, 5222/7987 is 2/6102068.