Greatest Common Factor of 440/752, 8617/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 440/752, 8617/916

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 440/752,8617/916

Given fractions are 440/752,8617/916

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 440,8617

Greatest Common Factor of Numerators i.e. GCF of 440,8617 is 1 .

LCM of Denominators means LCM of 752,916 as per the given fractions.

LCM of 752,916 is 172208 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 440,8617

GCF of Fractions 440/752,8617/916 is 1/172208

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

Greatest Common Factor of 440,8617 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,8617 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 8617

List of positive integer factors of 8617 that divides 8617 without a remainder.

1,7,1231,8617

Greatest Common Factor

We found the factors 440,8617 . The biggest common factor number is the GCF number.
So the greatest common factor 440,8617 is 1.

Lets's calculate LCM of 752,916

2 752, 916
2 376, 458
188, 229

∴ So the LCM of the given numbers is 2 x 2 x 188 x 229 = 172208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/172208

Therefore, the GCF of Fractions 440/752,8617/916 is 1/172208

Least Common Multiple of 752,916 with GCF Formula

Least Common Multiple of 752,916 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 752,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,916) = 4

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

GCF(752,916) x common factors =4 x 1 = 4

LCM(752,916) = ( 752 × 916 ) / 4

LCM(752,916) = 688832 / 4

LCM(752,916) = 172208


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 440/752, 8617/916

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 440/752, 8617/916?

Answer: GCF of Numerators as per given numbers 440/752, 8617/916 is

GCF of Numerators i.e. for 440,8617 is 1

LCM of denominators i.e. for 752,916 is 172208.

Thus, GCF of Fractions is 1/172208.Finally, GCF of Fractions for 440/752, 8617/916 is 1/172208.