Greatest Common Factor of 2131/70, 1445/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2131/70, 1445/375

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 2131/70,1445/375

Given fractions are 2131/70,1445/375

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 2131,1445

Greatest Common Factor of Numerators i.e. GCF of 2131,1445 is 1 .

LCM of Denominators means LCM of 70,375 as per the given fractions.

LCM of 70,375 is 5250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2131,1445

GCF of Fractions 2131/70,1445/375 is 1/5250

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

Greatest Common Factor of 2131,1445 By Matching Biggest Common Factor Method

Greatest Common Factor of 2131,1445 By Matching Biggest Common Factor Method

Factors of 2131

List of positive integer factors of 2131 that divides 2131 without a remainder.

1,2131

Factors of 1445

List of positive integer factors of 1445 that divides 1445 without a remainder.

1,5,17,85,289,1445

Greatest Common Factor

We found the factors 2131,1445 . The biggest common factor number is the GCF number.
So the greatest common factor 2131,1445 is 1.

Lets's calculate LCM of 70,375

5 70, 375
14, 75

∴ So the LCM of the given numbers is 5 x 14 x 75 = 5250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5250

Therefore, the GCF of Fractions 2131/70,1445/375 is 1/5250

Least Common Multiple of 70,375 with GCF Formula

Least Common Multiple of 70,375 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 70,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,375) = 5

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

GCF(70,375) x common factors =5 x 1 = 5

LCM(70,375) = ( 70 × 375 ) / 5

LCM(70,375) = 26250 / 5

LCM(70,375) = 5250


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 2131/70, 1445/375

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 2131/70, 1445/375?

Answer: GCF of Numerators as per given numbers 2131/70, 1445/375 is

GCF of Numerators i.e. for 2131,1445 is 1

LCM of denominators i.e. for 70,375 is 5250.

Thus, GCF of Fractions is 1/5250.Finally, GCF of Fractions for 2131/70, 1445/375 is 1/5250.