Greatest Common Factor of 963/418, 823/836, 276/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 963/418, 823/836, 276/267

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 963/418,823/836,276/267

Given fractions are 963/418,823/836,276/267

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 963,823,276

Greatest Common Factor of Numerators i.e. GCF of 963,823,276 is 1 .

LCM of Denominators means LCM of 418,836,267 as per the given fractions.

LCM of 418,836,267 is 223212 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 963,823,276

GCF of Fractions 963/418,823/836,276/267 is 1/223212

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

Greatest Common Factor of 963,823,276 By Matching Biggest Common Factor Method

Greatest Common Factor of 963,823,276 By Matching Biggest Common Factor Method

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 963,823,276 . The biggest common factor number is the GCF number.
So the greatest common factor 963,823,276 is 1.

Lets's calculate LCM of 418,836,267

2 418, 836, 267
11 209, 418, 267
19 19, 38, 267
1, 2, 267

∴ So the LCM of the given numbers is 2 x 11 x 19 x 1 x 2 x 267 = 223212

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/223212

Therefore, the GCF of Fractions 963/418,823/836,276/267 is 1/223212

Least Common Multiple of 418,836,267 with GCF Formula

Least Common Multiple of 418,836,267 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 418,836,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(418,836,267) = 1

common factors(in case of two or more numbers have common factors) = 418

GCF(418,836,267) x common factors =1 x 418 = 418

LCM(418,836,267) = ( 418 × 836 × 267 ) / 418

LCM(418,836,267) = 93302616 / 418

LCM(418,836,267) = 223212


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 963/418, 823/836, 276/267

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 963/418, 823/836, 276/267?

Answer: GCF of Numerators as per given numbers 963/418, 823/836, 276/267 is

GCF of Numerators i.e. for 963,823,276 is 1

LCM of denominators i.e. for 418,836,267 is 223212.

Thus, GCF of Fractions is 1/223212.Finally, GCF of Fractions for 963/418, 823/836, 276/267 is 1/223212.