Greatest Common Factor of 826/66, 876/5949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 826/66, 876/5949

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 826/66,876/5949

Given fractions are 826/66,876/5949

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 826,876

Greatest Common Factor of Numerators i.e. GCF of 826,876 is 2 .

LCM of Denominators means LCM of 66,5949 as per the given fractions.

LCM of 66,5949 is 130878 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 826,876

GCF of Fractions 826/66,876/5949 is 2/130878

2 826, 876
413, 438

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

Greatest Common Factor of 826,876 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,876 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Greatest Common Factor

We found the factors 826,876 . The biggest common factor number is the GCF number.
So the greatest common factor 826,876 is 2.

Lets's calculate LCM of 66,5949

3 66, 5949
22, 1983

∴ So the LCM of the given numbers is 3 x 22 x 1983 = 130878

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/130878

Therefore, the GCF of Fractions 826/66,876/5949 is 2/130878

Least Common Multiple of 66,5949 with GCF Formula

Least Common Multiple of 66,5949 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 66,5949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,5949) = 3

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

GCF(66,5949) x common factors =3 x 1 = 3

LCM(66,5949) = ( 66 × 5949 ) / 3

LCM(66,5949) = 392634 / 3

LCM(66,5949) = 130878


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 826/66, 876/5949

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 826/66, 876/5949?

Answer: GCF of Numerators as per given numbers 826/66, 876/5949 is

GCF of Numerators i.e. for 826,876 is 2

LCM of denominators i.e. for 66,5949 is 130878.

Thus, GCF of Fractions is 2/130878.Finally, GCF of Fractions for 826/66, 876/5949 is 2/130878.