Greatest Common Factor of 125/70, 500/4106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 125/70, 500/4106

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 125/70,500/4106

Given fractions are 125/70,500/4106

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 125,500

Greatest Common Factor of Numerators i.e. GCF of 125,500 is 125 .

LCM of Denominators means LCM of 70,4106 as per the given fractions.

LCM of 70,4106 is 143710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 125,500

GCF of Fractions 125/70,500/4106 is 125/143710

5 125, 500
5 25, 100
5 5, 20
1, 4

∴ So the GCF of the given numbers is 5 x 5 x 5 = 125

Greatest Common Factor of 125,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 125,500 By Matching Biggest Common Factor Method

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 125,500 . The biggest common factor number is the GCF number.
So the greatest common factor 125,500 is 125.

Lets's calculate LCM of 70,4106

2 70, 4106
35, 2053

∴ So the LCM of the given numbers is 2 x 35 x 2053 = 143710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 125/143710

Therefore, the GCF of Fractions 125/70,500/4106 is 125/143710

Least Common Multiple of 70,4106 with GCF Formula

Least Common Multiple of 70,4106 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 70,4106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,4106) = 2

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

GCF(70,4106) x common factors =2 x 1 = 2

LCM(70,4106) = ( 70 × 4106 ) / 2

LCM(70,4106) = 287420 / 2

LCM(70,4106) = 143710


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 125/70, 500/4106

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 125/70, 500/4106?

Answer: GCF of Numerators as per given numbers 125/70, 500/4106 is

GCF of Numerators i.e. for 125,500 is 125

LCM of denominators i.e. for 70,4106 is 143710.

Thus, GCF of Fractions is 125/143710.Finally, GCF of Fractions for 125/70, 500/4106 is 125/143710.