Greatest Common Factor of 1142/786, 8070/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1142/786, 8070/664

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 1142/786,8070/664

Given fractions are 1142/786,8070/664

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 1142,8070

Greatest Common Factor of Numerators i.e. GCF of 1142,8070 is 2 .

LCM of Denominators means LCM of 786,664 as per the given fractions.

LCM of 786,664 is 260952 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1142,8070

GCF of Fractions 1142/786,8070/664 is 2/260952

2 1142, 8070
571, 4035

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

Greatest Common Factor of 1142,8070 By Matching Biggest Common Factor Method

Greatest Common Factor of 1142,8070 By Matching Biggest Common Factor Method

Factors of 1142

List of positive integer factors of 1142 that divides 1142 without a remainder.

1,2,571,1142

Factors of 8070

List of positive integer factors of 8070 that divides 8070 without a remainder.

1,2,3,5,6,10,15,30,269,538,807,1345,1614,2690,4035,8070

Greatest Common Factor

We found the factors 1142,8070 . The biggest common factor number is the GCF number.
So the greatest common factor 1142,8070 is 2.

Lets's calculate LCM of 786,664

2 786, 664
393, 332

∴ So the LCM of the given numbers is 2 x 393 x 332 = 260952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/260952

Therefore, the GCF of Fractions 1142/786,8070/664 is 2/260952

Least Common Multiple of 786,664 with GCF Formula

Least Common Multiple of 786,664 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 786,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(786,664) = 2

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

GCF(786,664) x common factors =2 x 1 = 2

LCM(786,664) = ( 786 × 664 ) / 2

LCM(786,664) = 521904 / 2

LCM(786,664) = 260952


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 1142/786, 8070/664

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 1142/786, 8070/664?

Answer: GCF of Numerators as per given numbers 1142/786, 8070/664 is

GCF of Numerators i.e. for 1142,8070 is 2

LCM of denominators i.e. for 786,664 is 260952.

Thus, GCF of Fractions is 2/260952.Finally, GCF of Fractions for 1142/786, 8070/664 is 2/260952.