Greatest Common Factor of 961/807, 9342/236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 961/807, 9342/236

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 961/807,9342/236

Given fractions are 961/807,9342/236

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 961,9342

Greatest Common Factor of Numerators i.e. GCF of 961,9342 is 1 .

LCM of Denominators means LCM of 807,236 as per the given fractions.

LCM of 807,236 is 190452 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 961,9342

GCF of Fractions 961/807,9342/236 is 1/190452

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

Greatest Common Factor of 961,9342 By Matching Biggest Common Factor Method

Greatest Common Factor of 961,9342 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 9342

List of positive integer factors of 9342 that divides 9342 without a remainder.

1,2,3,6,9,18,27,54,173,346,519,1038,1557,3114,4671,9342

Greatest Common Factor

We found the factors 961,9342 . The biggest common factor number is the GCF number.
So the greatest common factor 961,9342 is 1.

Lets's calculate LCM of 807,236

Given numbers has no common factors except 1. So, there LCM is their product i.e 190452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/190452

Therefore, the GCF of Fractions 961/807,9342/236 is 1/190452

Least Common Multiple of 807,236 with GCF Formula

Least Common Multiple of 807,236 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 807,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(807,236) = 1

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

GCF(807,236) x common factors =1 x 1 = 1

LCM(807,236) = ( 807 × 236 ) / 1

LCM(807,236) = 190452 / 1

LCM(807,236) = 190452


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 961/807, 9342/236

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 961/807, 9342/236?

Answer: GCF of Numerators as per given numbers 961/807, 9342/236 is

GCF of Numerators i.e. for 961,9342 is 1

LCM of denominators i.e. for 807,236 is 190452.

Thus, GCF of Fractions is 1/190452.Finally, GCF of Fractions for 961/807, 9342/236 is 1/190452.