Greatest Common Factor of 4952/66, 7626/173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4952/66, 7626/173

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 4952/66,7626/173

Given fractions are 4952/66,7626/173

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 4952,7626

Greatest Common Factor of Numerators i.e. GCF of 4952,7626 is 2 .

LCM of Denominators means LCM of 66,173 as per the given fractions.

LCM of 66,173 is 11418 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4952,7626

GCF of Fractions 4952/66,7626/173 is 2/11418

2 4952, 7626
2476, 3813

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

Greatest Common Factor of 4952,7626 By Matching Biggest Common Factor Method

Greatest Common Factor of 4952,7626 By Matching Biggest Common Factor Method

Factors of 4952

List of positive integer factors of 4952 that divides 4952 without a remainder.

1,2,4,8,619,1238,2476,4952

Factors of 7626

List of positive integer factors of 7626 that divides 7626 without a remainder.

1,2,3,6,31,41,62,82,93,123,186,246,1271,2542,3813,7626

Greatest Common Factor

We found the factors 4952,7626 . The biggest common factor number is the GCF number.
So the greatest common factor 4952,7626 is 2.

Lets's calculate LCM of 66,173

Given numbers has no common factors except 1. So, there LCM is their product i.e 11418

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11418

Therefore, the GCF of Fractions 4952/66,7626/173 is 2/11418

Least Common Multiple of 66,173 with GCF Formula

Least Common Multiple of 66,173 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 66,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,173) = 1

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

GCF(66,173) x common factors =1 x 1 = 1

LCM(66,173) = ( 66 × 173 ) / 1

LCM(66,173) = 11418 / 1

LCM(66,173) = 11418


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 4952/66, 7626/173

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 4952/66, 7626/173?

Answer: GCF of Numerators as per given numbers 4952/66, 7626/173 is

GCF of Numerators i.e. for 4952,7626 is 2

LCM of denominators i.e. for 66,173 is 11418.

Thus, GCF of Fractions is 2/11418.Finally, GCF of Fractions for 4952/66, 7626/173 is 2/11418.