Greatest Common Factor of 876/113, 882/933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 876/113, 882/933

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 876/113,882/933

Given fractions are 876/113,882/933

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 876,882

Greatest Common Factor of Numerators i.e. GCF of 876,882 is 6 .

LCM of Denominators means LCM of 113,933 as per the given fractions.

LCM of 113,933 is 105429 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 876,882

GCF of Fractions 876/113,882/933 is 6/105429

2 876, 882
3 438, 441
146, 147

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 876,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 876,882 By Matching Biggest Common Factor Method

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

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 876,882 . The biggest common factor number is the GCF number.
So the greatest common factor 876,882 is 6.

Lets's calculate LCM of 113,933

Given numbers has no common factors except 1. So, there LCM is their product i.e 105429

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/105429

Therefore, the GCF of Fractions 876/113,882/933 is 6/105429

Least Common Multiple of 113,933 with GCF Formula

Least Common Multiple of 113,933 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 113,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(113,933) = 1

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

GCF(113,933) x common factors =1 x 1 = 1

LCM(113,933) = ( 113 × 933 ) / 1

LCM(113,933) = 105429 / 1

LCM(113,933) = 105429


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 876/113, 882/933

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 876/113, 882/933?

Answer: GCF of Numerators as per given numbers 876/113, 882/933 is

GCF of Numerators i.e. for 876,882 is 6

LCM of denominators i.e. for 113,933 is 105429.

Thus, GCF of Fractions is 6/105429.Finally, GCF of Fractions for 876/113, 882/933 is 6/105429.