Greatest Common Factor of 4271/544, 7640/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4271/544, 7640/677

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 4271/544,7640/677

Given fractions are 4271/544,7640/677

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 4271,7640

Greatest Common Factor of Numerators i.e. GCF of 4271,7640 is 1 .

LCM of Denominators means LCM of 544,677 as per the given fractions.

LCM of 544,677 is 368288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4271,7640

GCF of Fractions 4271/544,7640/677 is 1/368288

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

Greatest Common Factor of 4271,7640 By Matching Biggest Common Factor Method

Greatest Common Factor of 4271,7640 By Matching Biggest Common Factor Method

Factors of 4271

List of positive integer factors of 4271 that divides 4271 without a remainder.

1,4271

Factors of 7640

List of positive integer factors of 7640 that divides 7640 without a remainder.

1,2,4,5,8,10,20,40,191,382,764,955,1528,1910,3820,7640

Greatest Common Factor

We found the factors 4271,7640 . The biggest common factor number is the GCF number.
So the greatest common factor 4271,7640 is 1.

Lets's calculate LCM of 544,677

Given numbers has no common factors except 1. So, there LCM is their product i.e 368288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/368288

Therefore, the GCF of Fractions 4271/544,7640/677 is 1/368288

Least Common Multiple of 544,677 with GCF Formula

Least Common Multiple of 544,677 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 544,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,677) = 1

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

GCF(544,677) x common factors =1 x 1 = 1

LCM(544,677) = ( 544 × 677 ) / 1

LCM(544,677) = 368288 / 1

LCM(544,677) = 368288


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 4271/544, 7640/677

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 4271/544, 7640/677?

Answer: GCF of Numerators as per given numbers 4271/544, 7640/677 is

GCF of Numerators i.e. for 4271,7640 is 1

LCM of denominators i.e. for 544,677 is 368288.

Thus, GCF of Fractions is 1/368288.Finally, GCF of Fractions for 4271/544, 7640/677 is 1/368288.