Greatest Common Factor of 961/81, 262/8510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 961/81, 262/8510

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 961/81,262/8510

Given fractions are 961/81,262/8510

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 961,262

Greatest Common Factor of Numerators i.e. GCF of 961,262 is 1 .

LCM of Denominators means LCM of 81,8510 as per the given fractions.

LCM of 81,8510 is 689310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 961,262

GCF of Fractions 961/81,262/8510 is 1/689310

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

Greatest Common Factor of 961,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 961,262 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 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Greatest Common Factor

We found the factors 961,262 . The biggest common factor number is the GCF number.
So the greatest common factor 961,262 is 1.

Lets's calculate LCM of 81,8510

Given numbers has no common factors except 1. So, there LCM is their product i.e 689310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/689310

Therefore, the GCF of Fractions 961/81,262/8510 is 1/689310

Least Common Multiple of 81,8510 with GCF Formula

Least Common Multiple of 81,8510 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 81,8510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,8510) = 1

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

GCF(81,8510) x common factors =1 x 1 = 1

LCM(81,8510) = ( 81 × 8510 ) / 1

LCM(81,8510) = 689310 / 1

LCM(81,8510) = 689310


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 961/81, 262/8510

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 961/81, 262/8510?

Answer: GCF of Numerators as per given numbers 961/81, 262/8510 is

GCF of Numerators i.e. for 961,262 is 1

LCM of denominators i.e. for 81,8510 is 689310.

Thus, GCF of Fractions is 1/689310.Finally, GCF of Fractions for 961/81, 262/8510 is 1/689310.