Greatest Common Factor of 5052/66, 8744/619

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5052/66, 8744/619

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 5052/66,8744/619

Given fractions are 5052/66,8744/619

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 5052,8744

Greatest Common Factor of Numerators i.e. GCF of 5052,8744 is 4 .

LCM of Denominators means LCM of 66,619 as per the given fractions.

LCM of 66,619 is 40854 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5052,8744

GCF of Fractions 5052/66,8744/619 is 4/40854

2 5052, 8744
2 2526, 4372
1263, 2186

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

Greatest Common Factor of 5052,8744 By Matching Biggest Common Factor Method

Greatest Common Factor of 5052,8744 By Matching Biggest Common Factor Method

Factors of 5052

List of positive integer factors of 5052 that divides 5052 without a remainder.

1,2,3,4,6,12,421,842,1263,1684,2526,5052

Factors of 8744

List of positive integer factors of 8744 that divides 8744 without a remainder.

1,2,4,8,1093,2186,4372,8744

Greatest Common Factor

We found the factors 5052,8744 . The biggest common factor number is the GCF number.
So the greatest common factor 5052,8744 is 4.

Lets's calculate LCM of 66,619

Given numbers has no common factors except 1. So, there LCM is their product i.e 40854

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/40854

Therefore, the GCF of Fractions 5052/66,8744/619 is 4/40854

Least Common Multiple of 66,619 with GCF Formula

Least Common Multiple of 66,619 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 66,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,619) = 1

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

GCF(66,619) x common factors =1 x 1 = 1

LCM(66,619) = ( 66 × 619 ) / 1

LCM(66,619) = 40854 / 1

LCM(66,619) = 40854


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 5052/66, 8744/619

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 5052/66, 8744/619?

Answer: GCF of Numerators as per given numbers 5052/66, 8744/619 is

GCF of Numerators i.e. for 5052,8744 is 4

LCM of denominators i.e. for 66,619 is 40854.

Thus, GCF of Fractions is 4/40854.Finally, GCF of Fractions for 5052/66, 8744/619 is 4/40854.