Greatest Common Factor of 133/793, 987/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 133/793, 987/816

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 133/793,987/816

Given fractions are 133/793,987/816

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 133,987

Greatest Common Factor of Numerators i.e. GCF of 133,987 is 7 .

LCM of Denominators means LCM of 793,816 as per the given fractions.

LCM of 793,816 is 647088 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 133,987

GCF of Fractions 133/793,987/816 is 7/647088

7 133, 987
19, 141

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

Greatest Common Factor of 133,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 133,987 By Matching Biggest Common Factor Method

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 133,987 . The biggest common factor number is the GCF number.
So the greatest common factor 133,987 is 7.

Lets's calculate LCM of 793,816

Given numbers has no common factors except 1. So, there LCM is their product i.e 647088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/647088

Therefore, the GCF of Fractions 133/793,987/816 is 7/647088

Least Common Multiple of 793,816 with GCF Formula

Least Common Multiple of 793,816 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 793,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(793,816) = 1

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

GCF(793,816) x common factors =1 x 1 = 1

LCM(793,816) = ( 793 × 816 ) / 1

LCM(793,816) = 647088 / 1

LCM(793,816) = 647088


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 133/793, 987/816

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 133/793, 987/816?

Answer: GCF of Numerators as per given numbers 133/793, 987/816 is

GCF of Numerators i.e. for 133,987 is 7

LCM of denominators i.e. for 793,816 is 647088.

Thus, GCF of Fractions is 7/647088.Finally, GCF of Fractions for 133/793, 987/816 is 7/647088.