Greatest Common Factor of 792/66, 5026/757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 792/66, 5026/757

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 792/66,5026/757

Given fractions are 792/66,5026/757

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 792,5026

Greatest Common Factor of Numerators i.e. GCF of 792,5026 is 2 .

LCM of Denominators means LCM of 66,757 as per the given fractions.

LCM of 66,757 is 49962 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 792,5026

GCF of Fractions 792/66,5026/757 is 2/49962

2 792, 5026
396, 2513

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

Greatest Common Factor of 792,5026 By Matching Biggest Common Factor Method

Greatest Common Factor of 792,5026 By Matching Biggest Common Factor Method

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 5026

List of positive integer factors of 5026 that divides 5026 without a remainder.

1,2,7,14,359,718,2513,5026

Greatest Common Factor

We found the factors 792,5026 . The biggest common factor number is the GCF number.
So the greatest common factor 792,5026 is 2.

Lets's calculate LCM of 66,757

Given numbers has no common factors except 1. So, there LCM is their product i.e 49962

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/49962

Therefore, the GCF of Fractions 792/66,5026/757 is 2/49962

Least Common Multiple of 66,757 with GCF Formula

Least Common Multiple of 66,757 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 66,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,757) = 1

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

GCF(66,757) x common factors =1 x 1 = 1

LCM(66,757) = ( 66 × 757 ) / 1

LCM(66,757) = 49962 / 1

LCM(66,757) = 49962


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 792/66, 5026/757

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 792/66, 5026/757?

Answer: GCF of Numerators as per given numbers 792/66, 5026/757 is

GCF of Numerators i.e. for 792,5026 is 2

LCM of denominators i.e. for 66,757 is 49962.

Thus, GCF of Fractions is 2/49962.Finally, GCF of Fractions for 792/66, 5026/757 is 2/49962.