Greatest Common Factor of 961/998, 232/216, 381/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 961/998, 232/216, 381/314

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 961/998,232/216,381/314

Given fractions are 961/998,232/216,381/314

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 961,232,381

Greatest Common Factor of Numerators i.e. GCF of 961,232,381 is 1 .

LCM of Denominators means LCM of 998,216,314 as per the given fractions.

LCM of 998,216,314 is 16922088 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 961,232,381

GCF of Fractions 961/998,232/216,381/314 is 1/16922088

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

Greatest Common Factor of 961,232,381 By Matching Biggest Common Factor Method

Greatest Common Factor of 961,232,381 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 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Greatest Common Factor

We found the factors 961,232,381 . The biggest common factor number is the GCF number.
So the greatest common factor 961,232,381 is 1.

Lets's calculate LCM of 998,216,314

2 998, 216, 314
499, 108, 157

∴ So the LCM of the given numbers is 2 x 499 x 108 x 157 = 16922088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16922088

Therefore, the GCF of Fractions 961/998,232/216,381/314 is 1/16922088

Least Common Multiple of 998,216,314 with GCF Formula

Least Common Multiple of 998,216,314 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 998,216,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,216,314) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(998,216,314) x common factors =2 x 2 = 4

LCM(998,216,314) = ( 998 × 216 × 314 ) / 4

LCM(998,216,314) = 67688352 / 4

LCM(998,216,314) = 16922088


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 961/998, 232/216, 381/314

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 961/998, 232/216, 381/314?

Answer: GCF of Numerators as per given numbers 961/998, 232/216, 381/314 is

GCF of Numerators i.e. for 961,232,381 is 1

LCM of denominators i.e. for 998,216,314 is 16922088.

Thus, GCF of Fractions is 1/16922088.Finally, GCF of Fractions for 961/998, 232/216, 381/314 is 1/16922088.