Greatest Common Factor of 1676/64, 8484/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1676/64, 8484/891

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 1676/64,8484/891

Given fractions are 1676/64,8484/891

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 1676,8484

Greatest Common Factor of Numerators i.e. GCF of 1676,8484 is 4 .

LCM of Denominators means LCM of 64,891 as per the given fractions.

LCM of 64,891 is 57024 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1676,8484

GCF of Fractions 1676/64,8484/891 is 4/57024

2 1676, 8484
2 838, 4242
419, 2121

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

Greatest Common Factor of 1676,8484 By Matching Biggest Common Factor Method

Greatest Common Factor of 1676,8484 By Matching Biggest Common Factor Method

Factors of 1676

List of positive integer factors of 1676 that divides 1676 without a remainder.

1,2,4,419,838,1676

Factors of 8484

List of positive integer factors of 8484 that divides 8484 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,101,202,303,404,606,707,1212,1414,2121,2828,4242,8484

Greatest Common Factor

We found the factors 1676,8484 . The biggest common factor number is the GCF number.
So the greatest common factor 1676,8484 is 4.

Lets's calculate LCM of 64,891

Given numbers has no common factors except 1. So, there LCM is their product i.e 57024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/57024

Therefore, the GCF of Fractions 1676/64,8484/891 is 4/57024

Least Common Multiple of 64,891 with GCF Formula

Least Common Multiple of 64,891 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 64,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,891) = 1

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

GCF(64,891) x common factors =1 x 1 = 1

LCM(64,891) = ( 64 × 891 ) / 1

LCM(64,891) = 57024 / 1

LCM(64,891) = 57024


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 1676/64, 8484/891

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 1676/64, 8484/891?

Answer: GCF of Numerators as per given numbers 1676/64, 8484/891 is

GCF of Numerators i.e. for 1676,8484 is 4

LCM of denominators i.e. for 64,891 is 57024.

Thus, GCF of Fractions is 4/57024.Finally, GCF of Fractions for 1676/64, 8484/891 is 4/57024.