Greatest Common Factor of 786/9770, 244/9786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 786/9770, 244/9786

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 786/9770,244/9786

Given fractions are 786/9770,244/9786

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 786,244

Greatest Common Factor of Numerators i.e. GCF of 786,244 is 2 .

LCM of Denominators means LCM of 9770,9786 as per the given fractions.

LCM of 9770,9786 is 47804610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 786,244

GCF of Fractions 786/9770,244/9786 is 2/47804610

2 786, 244
393, 122

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

Greatest Common Factor of 786,244 By Matching Biggest Common Factor Method

Greatest Common Factor of 786,244 By Matching Biggest Common Factor Method

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Greatest Common Factor

We found the factors 786,244 . The biggest common factor number is the GCF number.
So the greatest common factor 786,244 is 2.

Lets's calculate LCM of 9770,9786

2 9770, 9786
4885, 4893

∴ So the LCM of the given numbers is 2 x 4885 x 4893 = 47804610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47804610

Therefore, the GCF of Fractions 786/9770,244/9786 is 2/47804610

Least Common Multiple of 9770,9786 with GCF Formula

Least Common Multiple of 9770,9786 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 9770,9786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9770,9786) = 2

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

GCF(9770,9786) x common factors =2 x 1 = 2

LCM(9770,9786) = ( 9770 × 9786 ) / 2

LCM(9770,9786) = 95609220 / 2

LCM(9770,9786) = 47804610


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 786/9770, 244/9786

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 786/9770, 244/9786?

Answer: GCF of Numerators as per given numbers 786/9770, 244/9786 is

GCF of Numerators i.e. for 786,244 is 2

LCM of denominators i.e. for 9770,9786 is 47804610.

Thus, GCF of Fractions is 2/47804610.Finally, GCF of Fractions for 786/9770, 244/9786 is 2/47804610.