Greatest Common Factor of 167/743, 836/499, 421/959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 167/743, 836/499, 421/959

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 167/743,836/499,421/959

Given fractions are 167/743,836/499,421/959

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 167,836,421

Greatest Common Factor of Numerators i.e. GCF of 167,836,421 is 1 .

LCM of Denominators means LCM of 743,499,959 as per the given fractions.

LCM of 743,499,959 is 355555963 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 167,836,421

GCF of Fractions 167/743,836/499,421/959 is 1/355555963

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

Greatest Common Factor of 167,836,421 By Matching Biggest Common Factor Method

Greatest Common Factor of 167,836,421 By Matching Biggest Common Factor Method

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Greatest Common Factor

We found the factors 167,836,421 . The biggest common factor number is the GCF number.
So the greatest common factor 167,836,421 is 1.

Lets's calculate LCM of 743,499,959

Given numbers has no common factors except 1. So, there LCM is their product i.e 355555963

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/355555963

Therefore, the GCF of Fractions 167/743,836/499,421/959 is 1/355555963

Least Common Multiple of 743,499,959 with GCF Formula

Least Common Multiple of 743,499,959 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 743,499,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,499,959) = 1

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

GCF(743,499,959) x common factors =1 x 1 = 1

LCM(743,499,959) = ( 743 × 499 × 959 ) / 1

LCM(743,499,959) = 355555963 / 1

LCM(743,499,959) = 355555963


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 167/743, 836/499, 421/959

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 167/743, 836/499, 421/959?

Answer: GCF of Numerators as per given numbers 167/743, 836/499, 421/959 is

GCF of Numerators i.e. for 167,836,421 is 1

LCM of denominators i.e. for 743,499,959 is 355555963.

Thus, GCF of Fractions is 1/355555963.Finally, GCF of Fractions for 167/743, 836/499, 421/959 is 1/355555963.