Greatest Common Factor of 4932/176, 8395/7157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4932/176, 8395/7157

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 4932/176,8395/7157

Given fractions are 4932/176,8395/7157

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 4932,8395

Greatest Common Factor of Numerators i.e. GCF of 4932,8395 is 1 .

LCM of Denominators means LCM of 176,7157 as per the given fractions.

LCM of 176,7157 is 1259632 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4932,8395

GCF of Fractions 4932/176,8395/7157 is 1/1259632

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4932,8395 By Matching Biggest Common Factor Method

Greatest Common Factor of 4932,8395 By Matching Biggest Common Factor Method

Factors of 4932

List of positive integer factors of 4932 that divides 4932 without a remainder.

1,2,3,4,6,9,12,18,36,137,274,411,548,822,1233,1644,2466,4932

Factors of 8395

List of positive integer factors of 8395 that divides 8395 without a remainder.

1,5,23,73,115,365,1679,8395

Greatest Common Factor

We found the factors 4932,8395 . The biggest common factor number is the GCF number.
So the greatest common factor 4932,8395 is 1.

Lets's calculate LCM of 176,7157

Given numbers has no common factors except 1. So, there LCM is their product i.e 1259632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1259632

Therefore, the GCF of Fractions 4932/176,8395/7157 is 1/1259632

Least Common Multiple of 176,7157 with GCF Formula

Least Common Multiple of 176,7157 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 176,7157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(176,7157) = 1

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

GCF(176,7157) x common factors =1 x 1 = 1

LCM(176,7157) = ( 176 × 7157 ) / 1

LCM(176,7157) = 1259632 / 1

LCM(176,7157) = 1259632


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 4932/176, 8395/7157

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 4932/176, 8395/7157?

Answer: GCF of Numerators as per given numbers 4932/176, 8395/7157 is

GCF of Numerators i.e. for 4932,8395 is 1

LCM of denominators i.e. for 176,7157 is 1259632.

Thus, GCF of Fractions is 1/1259632.Finally, GCF of Fractions for 4932/176, 8395/7157 is 1/1259632.