Greatest Common Factor of 116/63, 832/287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 116/63, 832/287

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 116/63,832/287

Given fractions are 116/63,832/287

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 116,832

Greatest Common Factor of Numerators i.e. GCF of 116,832 is 4 .

LCM of Denominators means LCM of 63,287 as per the given fractions.

LCM of 63,287 is 2583 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 116,832

GCF of Fractions 116/63,832/287 is 4/2583

2 116, 832
2 58, 416
29, 208

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 116,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 116,832 By Matching Biggest Common Factor Method

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 116,832 . The biggest common factor number is the GCF number.
So the greatest common factor 116,832 is 4.

Lets's calculate LCM of 63,287

7 63, 287
9, 41

∴ So the LCM of the given numbers is 7 x 9 x 41 = 2583

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2583

Therefore, the GCF of Fractions 116/63,832/287 is 4/2583

Least Common Multiple of 63,287 with GCF Formula

Least Common Multiple of 63,287 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 63,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,287) = 7

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

GCF(63,287) x common factors =7 x 1 = 7

LCM(63,287) = ( 63 × 287 ) / 7

LCM(63,287) = 18081 / 7

LCM(63,287) = 2583


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 116/63, 832/287

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 116/63, 832/287?

Answer: GCF of Numerators as per given numbers 116/63, 832/287 is

GCF of Numerators i.e. for 116,832 is 4

LCM of denominators i.e. for 63,287 is 2583.

Thus, GCF of Fractions is 4/2583.Finally, GCF of Fractions for 116/63, 832/287 is 4/2583.