Greatest Common Factor of 856/61, 324/76, 411/150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 856/61, 324/76, 411/150

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 856/61,324/76,411/150

Given fractions are 856/61,324/76,411/150

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 856,324,411

Greatest Common Factor of Numerators i.e. GCF of 856,324,411 is 1 .

LCM of Denominators means LCM of 61,76,150 as per the given fractions.

LCM of 61,76,150 is 347700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 856,324,411

GCF of Fractions 856/61,324/76,411/150 is 1/347700

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

Greatest Common Factor of 856,324,411 By Matching Biggest Common Factor Method

Greatest Common Factor of 856,324,411 By Matching Biggest Common Factor Method

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Greatest Common Factor

We found the factors 856,324,411 . The biggest common factor number is the GCF number.
So the greatest common factor 856,324,411 is 1.

Lets's calculate LCM of 61,76,150

2 61, 76, 150
61, 38, 75

∴ So the LCM of the given numbers is 2 x 61 x 38 x 75 = 347700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/347700

Therefore, the GCF of Fractions 856/61,324/76,411/150 is 1/347700

Least Common Multiple of 61,76,150 with GCF Formula

Least Common Multiple of 61,76,150 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 61,76,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,76,150) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(61,76,150) x common factors =1 x 2 = 2

LCM(61,76,150) = ( 61 × 76 × 150 ) / 2

LCM(61,76,150) = 695400 / 2

LCM(61,76,150) = 347700


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 856/61, 324/76, 411/150

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 856/61, 324/76, 411/150?

Answer: GCF of Numerators as per given numbers 856/61, 324/76, 411/150 is

GCF of Numerators i.e. for 856,324,411 is 1

LCM of denominators i.e. for 61,76,150 is 347700.

Thus, GCF of Fractions is 1/347700.Finally, GCF of Fractions for 856/61, 324/76, 411/150 is 1/347700.