Greatest Common Factor of 117/78, 633/94, 836/803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 117/78, 633/94, 836/803

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 117/78,633/94,836/803

Given fractions are 117/78,633/94,836/803

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 117,633,836

Greatest Common Factor of Numerators i.e. GCF of 117,633,836 is 1 .

LCM of Denominators means LCM of 78,94,803 as per the given fractions.

LCM of 78,94,803 is 2943798 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 117,633,836

GCF of Fractions 117/78,633/94,836/803 is 1/2943798

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

Greatest Common Factor of 117,633,836 By Matching Biggest Common Factor Method

Greatest Common Factor of 117,633,836 By Matching Biggest Common Factor Method

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Greatest Common Factor

We found the factors 117,633,836 . The biggest common factor number is the GCF number.
So the greatest common factor 117,633,836 is 1.


Lets's calculate LCM of 78,94,803

2 78, 94, 803
39, 47, 803

∴ So the LCM of the given numbers is 2 x 39 x 47 x 803 = 2943798

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2943798

Therefore, the GCF of Fractions 117/78,633/94,836/803 is 1/2943798

Least Common Multiple of 78,94,803 with GCF Formula

Least Common Multiple of 78,94,803 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 78,94,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,94,803) = 1

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

GCF(78,94,803) x common factors =1 x 2 = 2

LCM(78,94,803) = ( 78 × 94 × 803 ) / 2

LCM(78,94,803) = 5887596 / 2

LCM(78,94,803) = 2943798


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 117/78, 633/94, 836/803

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 117/78, 633/94, 836/803?

Answer: GCF of Numerators as per given numbers 117/78, 633/94, 836/803 is

GCF of Numerators i.e. for 117,633,836 is 1

LCM of denominators i.e. for 78,94,803 is 2943798.

Thus, GCF of Fractions is 1/2943798.Finally, GCF of Fractions for 117/78, 633/94, 836/803 is 1/2943798.