Greatest Common Factor of 4532/698, 2707/2656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4532/698, 2707/2656

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 4532/698,2707/2656

Given fractions are 4532/698,2707/2656

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 4532,2707

Greatest Common Factor of Numerators i.e. GCF of 4532,2707 is 1 .

LCM of Denominators means LCM of 698,2656 as per the given fractions.

LCM of 698,2656 is 926944 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4532,2707

GCF of Fractions 4532/698,2707/2656 is 1/926944

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

Greatest Common Factor of 4532,2707 By Matching Biggest Common Factor Method

Greatest Common Factor of 4532,2707 By Matching Biggest Common Factor Method

Factors of 4532

List of positive integer factors of 4532 that divides 4532 without a remainder.

1,2,4,11,22,44,103,206,412,1133,2266,4532

Factors of 2707

List of positive integer factors of 2707 that divides 2707 without a remainder.

1,2707

Greatest Common Factor

We found the factors 4532,2707 . The biggest common factor number is the GCF number.
So the greatest common factor 4532,2707 is 1.

Lets's calculate LCM of 698,2656

2 698, 2656
349, 1328

∴ So the LCM of the given numbers is 2 x 349 x 1328 = 926944

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/926944

Therefore, the GCF of Fractions 4532/698,2707/2656 is 1/926944

Least Common Multiple of 698,2656 with GCF Formula

Least Common Multiple of 698,2656 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 698,2656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,2656) = 2

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

GCF(698,2656) x common factors =2 x 1 = 2

LCM(698,2656) = ( 698 × 2656 ) / 2

LCM(698,2656) = 1853888 / 2

LCM(698,2656) = 926944


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 4532/698, 2707/2656

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 4532/698, 2707/2656?

Answer: GCF of Numerators as per given numbers 4532/698, 2707/2656 is

GCF of Numerators i.e. for 4532,2707 is 1

LCM of denominators i.e. for 698,2656 is 926944.

Thus, GCF of Fractions is 1/926944.Finally, GCF of Fractions for 4532/698, 2707/2656 is 1/926944.