Greatest Common Factor of 3070/762, 6071/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3070/762, 6071/996

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 3070/762,6071/996

Given fractions are 3070/762,6071/996

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 3070,6071

Greatest Common Factor of Numerators i.e. GCF of 3070,6071 is 1 .

LCM of Denominators means LCM of 762,996 as per the given fractions.

LCM of 762,996 is 126492 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3070,6071

GCF of Fractions 3070/762,6071/996 is 1/126492

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

Greatest Common Factor of 3070,6071 By Matching Biggest Common Factor Method

Greatest Common Factor of 3070,6071 By Matching Biggest Common Factor Method

Factors of 3070

List of positive integer factors of 3070 that divides 3070 without a remainder.

1,2,5,10,307,614,1535,3070

Factors of 6071

List of positive integer factors of 6071 that divides 6071 without a remainder.

1,13,467,6071

Greatest Common Factor

We found the factors 3070,6071 . The biggest common factor number is the GCF number.
So the greatest common factor 3070,6071 is 1.

Lets's calculate LCM of 762,996

2 762, 996
3 381, 498
127, 166

∴ So the LCM of the given numbers is 2 x 3 x 127 x 166 = 126492

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126492

Therefore, the GCF of Fractions 3070/762,6071/996 is 1/126492

Least Common Multiple of 762,996 with GCF Formula

Least Common Multiple of 762,996 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 762,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,996) = 6

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

GCF(762,996) x common factors =6 x 1 = 6

LCM(762,996) = ( 762 × 996 ) / 6

LCM(762,996) = 758952 / 6

LCM(762,996) = 126492


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 3070/762, 6071/996

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 3070/762, 6071/996?

Answer: GCF of Numerators as per given numbers 3070/762, 6071/996 is

GCF of Numerators i.e. for 3070,6071 is 1

LCM of denominators i.e. for 762,996 is 126492.

Thus, GCF of Fractions is 1/126492.Finally, GCF of Fractions for 3070/762, 6071/996 is 1/126492.