Greatest Common Factor of 6842/851, 1940/7747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6842/851, 1940/7747

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 6842/851,1940/7747

Given fractions are 6842/851,1940/7747

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 6842,1940

Greatest Common Factor of Numerators i.e. GCF of 6842,1940 is 2 .

LCM of Denominators means LCM of 851,7747 as per the given fractions.

LCM of 851,7747 is 6592697 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6842,1940

GCF of Fractions 6842/851,1940/7747 is 2/6592697

2 6842, 1940
3421, 970

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

Greatest Common Factor of 6842,1940 By Matching Biggest Common Factor Method

Greatest Common Factor of 6842,1940 By Matching Biggest Common Factor Method

Factors of 6842

List of positive integer factors of 6842 that divides 6842 without a remainder.

1,2,11,22,311,622,3421,6842

Factors of 1940

List of positive integer factors of 1940 that divides 1940 without a remainder.

1,2,4,5,10,20,97,194,388,485,970,1940

Greatest Common Factor

We found the factors 6842,1940 . The biggest common factor number is the GCF number.
So the greatest common factor 6842,1940 is 2.

Lets's calculate LCM of 851,7747

Given numbers has no common factors except 1. So, there LCM is their product i.e 6592697

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6592697

Therefore, the GCF of Fractions 6842/851,1940/7747 is 2/6592697

Least Common Multiple of 851,7747 with GCF Formula

Least Common Multiple of 851,7747 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 851,7747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(851,7747) = 1

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

GCF(851,7747) x common factors =1 x 1 = 1

LCM(851,7747) = ( 851 × 7747 ) / 1

LCM(851,7747) = 6592697 / 1

LCM(851,7747) = 6592697


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 6842/851, 1940/7747

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 6842/851, 1940/7747?

Answer: GCF of Numerators as per given numbers 6842/851, 1940/7747 is

GCF of Numerators i.e. for 6842,1940 is 2

LCM of denominators i.e. for 851,7747 is 6592697.

Thus, GCF of Fractions is 2/6592697.Finally, GCF of Fractions for 6842/851, 1940/7747 is 2/6592697.