Greatest Common Factor of 2125/83, 5370/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2125/83, 5370/398

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 2125/83,5370/398

Given fractions are 2125/83,5370/398

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 2125,5370

Greatest Common Factor of Numerators i.e. GCF of 2125,5370 is 5 .

LCM of Denominators means LCM of 83,398 as per the given fractions.

LCM of 83,398 is 33034 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2125,5370

GCF of Fractions 2125/83,5370/398 is 5/33034

5 2125, 5370
425, 1074

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 2125,5370 By Matching Biggest Common Factor Method

Greatest Common Factor of 2125,5370 By Matching Biggest Common Factor Method

Factors of 2125

List of positive integer factors of 2125 that divides 2125 without a remainder.

1,5,17,25,85,125,425,2125

Factors of 5370

List of positive integer factors of 5370 that divides 5370 without a remainder.

1,2,3,5,6,10,15,30,179,358,537,895,1074,1790,2685,5370

Greatest Common Factor

We found the factors 2125,5370 . The biggest common factor number is the GCF number.
So the greatest common factor 2125,5370 is 5.

Lets's calculate LCM of 83,398

Given numbers has no common factors except 1. So, there LCM is their product i.e 33034

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/33034

Therefore, the GCF of Fractions 2125/83,5370/398 is 5/33034

Least Common Multiple of 83,398 with GCF Formula

Least Common Multiple of 83,398 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 83,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,398) = 1

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

GCF(83,398) x common factors =1 x 1 = 1

LCM(83,398) = ( 83 × 398 ) / 1

LCM(83,398) = 33034 / 1

LCM(83,398) = 33034


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 2125/83, 5370/398

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 2125/83, 5370/398?

Answer: GCF of Numerators as per given numbers 2125/83, 5370/398 is

GCF of Numerators i.e. for 2125,5370 is 5

LCM of denominators i.e. for 83,398 is 33034.

Thus, GCF of Fractions is 5/33034.Finally, GCF of Fractions for 2125/83, 5370/398 is 5/33034.