Greatest Common Factor of 8913/514, 3544/3797

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8913/514, 3544/3797

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 8913/514,3544/3797

Given fractions are 8913/514,3544/3797

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 8913,3544

Greatest Common Factor of Numerators i.e. GCF of 8913,3544 is 1 .

LCM of Denominators means LCM of 514,3797 as per the given fractions.

LCM of 514,3797 is 1951658 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8913,3544

GCF of Fractions 8913/514,3544/3797 is 1/1951658

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

Greatest Common Factor of 8913,3544 By Matching Biggest Common Factor Method

Greatest Common Factor of 8913,3544 By Matching Biggest Common Factor Method

Factors of 8913

List of positive integer factors of 8913 that divides 8913 without a remainder.

1,3,2971,8913

Factors of 3544

List of positive integer factors of 3544 that divides 3544 without a remainder.

1,2,4,8,443,886,1772,3544

Greatest Common Factor

We found the factors 8913,3544 . The biggest common factor number is the GCF number.
So the greatest common factor 8913,3544 is 1.

Lets's calculate LCM of 514,3797

Given numbers has no common factors except 1. So, there LCM is their product i.e 1951658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1951658

Therefore, the GCF of Fractions 8913/514,3544/3797 is 1/1951658

Least Common Multiple of 514,3797 with GCF Formula

Least Common Multiple of 514,3797 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 514,3797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,3797) = 1

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

GCF(514,3797) x common factors =1 x 1 = 1

LCM(514,3797) = ( 514 × 3797 ) / 1

LCM(514,3797) = 1951658 / 1

LCM(514,3797) = 1951658


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 8913/514, 3544/3797

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 8913/514, 3544/3797?

Answer: GCF of Numerators as per given numbers 8913/514, 3544/3797 is

GCF of Numerators i.e. for 8913,3544 is 1

LCM of denominators i.e. for 514,3797 is 1951658.

Thus, GCF of Fractions is 1/1951658.Finally, GCF of Fractions for 8913/514, 3544/3797 is 1/1951658.