Greatest Common Factor of 1570/715, 8009/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1570/715, 8009/122

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 1570/715,8009/122

Given fractions are 1570/715,8009/122

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 1570,8009

Greatest Common Factor of Numerators i.e. GCF of 1570,8009 is 1 .

LCM of Denominators means LCM of 715,122 as per the given fractions.

LCM of 715,122 is 87230 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1570,8009

GCF of Fractions 1570/715,8009/122 is 1/87230

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

Greatest Common Factor of 1570,8009 By Matching Biggest Common Factor Method

Greatest Common Factor of 1570,8009 By Matching Biggest Common Factor Method

Factors of 1570

List of positive integer factors of 1570 that divides 1570 without a remainder.

1,2,5,10,157,314,785,1570

Factors of 8009

List of positive integer factors of 8009 that divides 8009 without a remainder.

1,8009

Greatest Common Factor

We found the factors 1570,8009 . The biggest common factor number is the GCF number.
So the greatest common factor 1570,8009 is 1.

Lets's calculate LCM of 715,122

Given numbers has no common factors except 1. So, there LCM is their product i.e 87230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87230

Therefore, the GCF of Fractions 1570/715,8009/122 is 1/87230

Least Common Multiple of 715,122 with GCF Formula

Least Common Multiple of 715,122 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 715,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(715,122) = 1

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

GCF(715,122) x common factors =1 x 1 = 1

LCM(715,122) = ( 715 × 122 ) / 1

LCM(715,122) = 87230 / 1

LCM(715,122) = 87230


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 1570/715, 8009/122

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 1570/715, 8009/122?

Answer: GCF of Numerators as per given numbers 1570/715, 8009/122 is

GCF of Numerators i.e. for 1570,8009 is 1

LCM of denominators i.e. for 715,122 is 87230.

Thus, GCF of Fractions is 1/87230.Finally, GCF of Fractions for 1570/715, 8009/122 is 1/87230.