Greatest Common Factor of 158/700, 1456/2020

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 158/700, 1456/2020

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 158/700,1456/2020

Given fractions are 158/700,1456/2020

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 158,1456

Greatest Common Factor of Numerators i.e. GCF of 158,1456 is 2 .

LCM of Denominators means LCM of 700,2020 as per the given fractions.

LCM of 700,2020 is 70700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 158,1456

GCF of Fractions 158/700,1456/2020 is 2/70700

2 158, 1456
79, 728

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

Greatest Common Factor of 158,1456 By Matching Biggest Common Factor Method

Greatest Common Factor of 158,1456 By Matching Biggest Common Factor Method

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Factors of 1456

List of positive integer factors of 1456 that divides 1456 without a remainder.

1,2,4,7,8,13,14,16,26,28,52,56,91,104,112,182,208,364,728,1456

Greatest Common Factor

We found the factors 158,1456 . The biggest common factor number is the GCF number.
So the greatest common factor 158,1456 is 2.

Lets's calculate LCM of 700,2020

2 700, 2020
2 350, 1010
5 175, 505
35, 101

∴ So the LCM of the given numbers is 2 x 2 x 5 x 35 x 101 = 70700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/70700

Therefore, the GCF of Fractions 158/700,1456/2020 is 2/70700

Least Common Multiple of 700,2020 with GCF Formula

Least Common Multiple of 700,2020 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 700,2020 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,2020) = 20

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

GCF(700,2020) x common factors =20 x 1 = 20

LCM(700,2020) = ( 700 × 2020 ) / 20

LCM(700,2020) = 1414000 / 20

LCM(700,2020) = 70700


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 158/700, 1456/2020

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 158/700, 1456/2020?

Answer: GCF of Numerators as per given numbers 158/700, 1456/2020 is

GCF of Numerators i.e. for 158,1456 is 2

LCM of denominators i.e. for 700,2020 is 70700.

Thus, GCF of Fractions is 2/70700.Finally, GCF of Fractions for 158/700, 1456/2020 is 2/70700.