Greatest Common Factor of 8504/916, 8427/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8504/916, 8427/648

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 8504/916,8427/648

Given fractions are 8504/916,8427/648

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 8504,8427

Greatest Common Factor of Numerators i.e. GCF of 8504,8427 is 1 .

LCM of Denominators means LCM of 916,648 as per the given fractions.

LCM of 916,648 is 148392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8504,8427

GCF of Fractions 8504/916,8427/648 is 1/148392

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

Greatest Common Factor of 8504,8427 By Matching Biggest Common Factor Method

Greatest Common Factor of 8504,8427 By Matching Biggest Common Factor Method

Factors of 8504

List of positive integer factors of 8504 that divides 8504 without a remainder.

1,2,4,8,1063,2126,4252,8504

Factors of 8427

List of positive integer factors of 8427 that divides 8427 without a remainder.

1,3,53,159,2809,8427

Greatest Common Factor

We found the factors 8504,8427 . The biggest common factor number is the GCF number.
So the greatest common factor 8504,8427 is 1.

Lets's calculate LCM of 916,648

2 916, 648
2 458, 324
229, 162

∴ So the LCM of the given numbers is 2 x 2 x 229 x 162 = 148392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148392

Therefore, the GCF of Fractions 8504/916,8427/648 is 1/148392

Least Common Multiple of 916,648 with GCF Formula

Least Common Multiple of 916,648 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 916,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,648) = 4

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

GCF(916,648) x common factors =4 x 1 = 4

LCM(916,648) = ( 916 × 648 ) / 4

LCM(916,648) = 593568 / 4

LCM(916,648) = 148392


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 8504/916, 8427/648

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 8504/916, 8427/648?

Answer: GCF of Numerators as per given numbers 8504/916, 8427/648 is

GCF of Numerators i.e. for 8504,8427 is 1

LCM of denominators i.e. for 916,648 is 148392.

Thus, GCF of Fractions is 1/148392.Finally, GCF of Fractions for 8504/916, 8427/648 is 1/148392.