Greatest Common Factor of 200/70, 658/1520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 200/70, 658/1520

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 200/70,658/1520

Given fractions are 200/70,658/1520

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 200,658

Greatest Common Factor of Numerators i.e. GCF of 200,658 is 2 .

LCM of Denominators means LCM of 70,1520 as per the given fractions.

LCM of 70,1520 is 10640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 200,658

GCF of Fractions 200/70,658/1520 is 2/10640

2 200, 658
100, 329

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

Greatest Common Factor of 200,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 200,658 By Matching Biggest Common Factor Method

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 200,658 . The biggest common factor number is the GCF number.
So the greatest common factor 200,658 is 2.

Lets's calculate LCM of 70,1520

2 70, 1520
5 35, 760
7, 152

∴ So the LCM of the given numbers is 2 x 5 x 7 x 152 = 10640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10640

Therefore, the GCF of Fractions 200/70,658/1520 is 2/10640

Least Common Multiple of 70,1520 with GCF Formula

Least Common Multiple of 70,1520 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 70,1520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,1520) = 10

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

GCF(70,1520) x common factors =10 x 1 = 10

LCM(70,1520) = ( 70 × 1520 ) / 10

LCM(70,1520) = 106400 / 10

LCM(70,1520) = 10640


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 200/70, 658/1520

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 200/70, 658/1520?

Answer: GCF of Numerators as per given numbers 200/70, 658/1520 is

GCF of Numerators i.e. for 200,658 is 2

LCM of denominators i.e. for 70,1520 is 10640.

Thus, GCF of Fractions is 2/10640.Finally, GCF of Fractions for 200/70, 658/1520 is 2/10640.