Greatest Common Factor of 818/35, 123/63, 696/876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 818/35, 123/63, 696/876

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 818/35,123/63,696/876

Given fractions are 818/35,123/63,696/876

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 818,123,696

Greatest Common Factor of Numerators i.e. GCF of 818,123,696 is 1 .

LCM of Denominators means LCM of 35,63,876 as per the given fractions.

LCM of 35,63,876 is 91980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 818,123,696

GCF of Fractions 818/35,123/63,696/876 is 1/91980

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

Greatest Common Factor of 818,123,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 818,123,696 By Matching Biggest Common Factor Method

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 818,123,696 . The biggest common factor number is the GCF number.
So the greatest common factor 818,123,696 is 1.

Lets's calculate LCM of 35,63,876

3 35, 63, 876
7 35, 21, 292
5, 3, 292

∴ So the LCM of the given numbers is 3 x 7 x 5 x 3 x 292 = 91980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91980

Therefore, the GCF of Fractions 818/35,123/63,696/876 is 1/91980

Least Common Multiple of 35,63,876 with GCF Formula

Least Common Multiple of 35,63,876 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 35,63,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,63,876) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(35,63,876) x common factors =1 x 21 = 21

LCM(35,63,876) = ( 35 × 63 × 876 ) / 21

LCM(35,63,876) = 1931580 / 21

LCM(35,63,876) = 91980


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 818/35, 123/63, 696/876

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 818/35, 123/63, 696/876?

Answer: GCF of Numerators as per given numbers 818/35, 123/63, 696/876 is

GCF of Numerators i.e. for 818,123,696 is 1

LCM of denominators i.e. for 35,63,876 is 91980.

Thus, GCF of Fractions is 1/91980.Finally, GCF of Fractions for 818/35, 123/63, 696/876 is 1/91980.