Greatest Common Factor of 4270/671, 5974/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4270/671, 5974/275

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 4270/671,5974/275

Given fractions are 4270/671,5974/275

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 4270,5974

Greatest Common Factor of Numerators i.e. GCF of 4270,5974 is 2 .

LCM of Denominators means LCM of 671,275 as per the given fractions.

LCM of 671,275 is 16775 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4270,5974

GCF of Fractions 4270/671,5974/275 is 2/16775

2 4270, 5974
2135, 2987

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

Greatest Common Factor of 4270,5974 By Matching Biggest Common Factor Method

Greatest Common Factor of 4270,5974 By Matching Biggest Common Factor Method

Factors of 4270

List of positive integer factors of 4270 that divides 4270 without a remainder.

1,2,5,7,10,14,35,61,70,122,305,427,610,854,2135,4270

Factors of 5974

List of positive integer factors of 5974 that divides 5974 without a remainder.

1,2,29,58,103,206,2987,5974

Greatest Common Factor

We found the factors 4270,5974 . The biggest common factor number is the GCF number.
So the greatest common factor 4270,5974 is 2.

Lets's calculate LCM of 671,275

11 671, 275
61, 25

∴ So the LCM of the given numbers is 11 x 61 x 25 = 16775

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16775

Therefore, the GCF of Fractions 4270/671,5974/275 is 2/16775

Least Common Multiple of 671,275 with GCF Formula

Least Common Multiple of 671,275 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 671,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(671,275) = 11

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

GCF(671,275) x common factors =11 x 1 = 11

LCM(671,275) = ( 671 × 275 ) / 11

LCM(671,275) = 184525 / 11

LCM(671,275) = 16775


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 4270/671, 5974/275

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 4270/671, 5974/275?

Answer: GCF of Numerators as per given numbers 4270/671, 5974/275 is

GCF of Numerators i.e. for 4270,5974 is 2

LCM of denominators i.e. for 671,275 is 16775.

Thus, GCF of Fractions is 2/16775.Finally, GCF of Fractions for 4270/671, 5974/275 is 2/16775.