Greatest Common Factor of 3675/253, 1351/1711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3675/253, 1351/1711

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 3675/253,1351/1711

Given fractions are 3675/253,1351/1711

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 3675,1351

Greatest Common Factor of Numerators i.e. GCF of 3675,1351 is 7 .

LCM of Denominators means LCM of 253,1711 as per the given fractions.

LCM of 253,1711 is 432883 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3675,1351

GCF of Fractions 3675/253,1351/1711 is 7/432883

7 3675, 1351
525, 193

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 3675,1351 By Matching Biggest Common Factor Method

Greatest Common Factor of 3675,1351 By Matching Biggest Common Factor Method

Factors of 3675

List of positive integer factors of 3675 that divides 3675 without a remainder.

1,3,5,7,15,21,25,35,49,75,105,147,175,245,525,735,1225,3675

Factors of 1351

List of positive integer factors of 1351 that divides 1351 without a remainder.

1,7,193,1351

Greatest Common Factor

We found the factors 3675,1351 . The biggest common factor number is the GCF number.
So the greatest common factor 3675,1351 is 7.

Lets's calculate LCM of 253,1711

Given numbers has no common factors except 1. So, there LCM is their product i.e 432883

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/432883

Therefore, the GCF of Fractions 3675/253,1351/1711 is 7/432883

Least Common Multiple of 253,1711 with GCF Formula

Least Common Multiple of 253,1711 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 253,1711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,1711) = 1

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

GCF(253,1711) x common factors =1 x 1 = 1

LCM(253,1711) = ( 253 × 1711 ) / 1

LCM(253,1711) = 432883 / 1

LCM(253,1711) = 432883


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 3675/253, 1351/1711

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 3675/253, 1351/1711?

Answer: GCF of Numerators as per given numbers 3675/253, 1351/1711 is

GCF of Numerators i.e. for 3675,1351 is 7

LCM of denominators i.e. for 253,1711 is 432883.

Thus, GCF of Fractions is 7/432883.Finally, GCF of Fractions for 3675/253, 1351/1711 is 7/432883.