Greatest Common Factor of 961/77, 386/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 961/77, 386/219

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 961/77,386/219

Given fractions are 961/77,386/219

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 961,386

Greatest Common Factor of Numerators i.e. GCF of 961,386 is 1 .

LCM of Denominators means LCM of 77,219 as per the given fractions.

LCM of 77,219 is 16863 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 961,386

GCF of Fractions 961/77,386/219 is 1/16863

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

Greatest Common Factor of 961,386 By Matching Biggest Common Factor Method

Greatest Common Factor of 961,386 By Matching Biggest Common Factor Method

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Greatest Common Factor

We found the factors 961,386 . The biggest common factor number is the GCF number.
So the greatest common factor 961,386 is 1.

Lets's calculate LCM of 77,219

Given numbers has no common factors except 1. So, there LCM is their product i.e 16863

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16863

Therefore, the GCF of Fractions 961/77,386/219 is 1/16863

Least Common Multiple of 77,219 with GCF Formula

Least Common Multiple of 77,219 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 77,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,219) = 1

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

GCF(77,219) x common factors =1 x 1 = 1

LCM(77,219) = ( 77 × 219 ) / 1

LCM(77,219) = 16863 / 1

LCM(77,219) = 16863


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 961/77, 386/219

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 961/77, 386/219?

Answer: GCF of Numerators as per given numbers 961/77, 386/219 is

GCF of Numerators i.e. for 961,386 is 1

LCM of denominators i.e. for 77,219 is 16863.

Thus, GCF of Fractions is 1/16863.Finally, GCF of Fractions for 961/77, 386/219 is 1/16863.