Greatest Common Factor of 1169/92, 8939/884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1169/92, 8939/884

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 1169/92,8939/884

Given fractions are 1169/92,8939/884

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 1169,8939

Greatest Common Factor of Numerators i.e. GCF of 1169,8939 is 7 .

LCM of Denominators means LCM of 92,884 as per the given fractions.

LCM of 92,884 is 20332 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1169,8939

GCF of Fractions 1169/92,8939/884 is 7/20332

7 1169, 8939
167, 1277

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 1169,8939 By Matching Biggest Common Factor Method

Greatest Common Factor of 1169,8939 By Matching Biggest Common Factor Method

Factors of 1169

List of positive integer factors of 1169 that divides 1169 without a remainder.

1,7,167,1169

Factors of 8939

List of positive integer factors of 8939 that divides 8939 without a remainder.

1,7,1277,8939

Greatest Common Factor

We found the factors 1169,8939 . The biggest common factor number is the GCF number.
So the greatest common factor 1169,8939 is 7.

Lets's calculate LCM of 92,884

2 92, 884
2 46, 442
23, 221

∴ So the LCM of the given numbers is 2 x 2 x 23 x 221 = 20332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/20332

Therefore, the GCF of Fractions 1169/92,8939/884 is 7/20332

Least Common Multiple of 92,884 with GCF Formula

Least Common Multiple of 92,884 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 92,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,884) = 4

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

GCF(92,884) x common factors =4 x 1 = 4

LCM(92,884) = ( 92 × 884 ) / 4

LCM(92,884) = 81328 / 4

LCM(92,884) = 20332


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 1169/92, 8939/884

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 1169/92, 8939/884?

Answer: GCF of Numerators as per given numbers 1169/92, 8939/884 is

GCF of Numerators i.e. for 1169,8939 is 7

LCM of denominators i.e. for 92,884 is 20332.

Thus, GCF of Fractions is 7/20332.Finally, GCF of Fractions for 1169/92, 8939/884 is 7/20332.