Greatest Common Factor of 1172/416, 6987/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1172/416, 6987/828

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 1172/416,6987/828

Given fractions are 1172/416,6987/828

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 1172,6987

Greatest Common Factor of Numerators i.e. GCF of 1172,6987 is 1 .

LCM of Denominators means LCM of 416,828 as per the given fractions.

LCM of 416,828 is 86112 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1172,6987

GCF of Fractions 1172/416,6987/828 is 1/86112

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

Greatest Common Factor of 1172,6987 By Matching Biggest Common Factor Method

Greatest Common Factor of 1172,6987 By Matching Biggest Common Factor Method

Factors of 1172

List of positive integer factors of 1172 that divides 1172 without a remainder.

1,2,4,293,586,1172

Factors of 6987

List of positive integer factors of 6987 that divides 6987 without a remainder.

1,3,17,51,137,411,2329,6987

Greatest Common Factor

We found the factors 1172,6987 . The biggest common factor number is the GCF number.
So the greatest common factor 1172,6987 is 1.

Lets's calculate LCM of 416,828

2 416, 828
2 208, 414
104, 207

∴ So the LCM of the given numbers is 2 x 2 x 104 x 207 = 86112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86112

Therefore, the GCF of Fractions 1172/416,6987/828 is 1/86112

Least Common Multiple of 416,828 with GCF Formula

Least Common Multiple of 416,828 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 416,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,828) = 4

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

GCF(416,828) x common factors =4 x 1 = 4

LCM(416,828) = ( 416 × 828 ) / 4

LCM(416,828) = 344448 / 4

LCM(416,828) = 86112


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 1172/416, 6987/828

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 1172/416, 6987/828?

Answer: GCF of Numerators as per given numbers 1172/416, 6987/828 is

GCF of Numerators i.e. for 1172,6987 is 1

LCM of denominators i.e. for 416,828 is 86112.

Thus, GCF of Fractions is 1/86112.Finally, GCF of Fractions for 1172/416, 6987/828 is 1/86112.