Greatest Common Factor of 9/84, 56/82, 49/256, 142/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/84, 56/82, 49/256, 142/867

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 9/84,56/82,49/256,142/867

Given fractions are 9/84,56/82,49/256,142/867

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 9,56,49,142

Greatest Common Factor of Numerators i.e. GCF of 9,56,49,142 is 1 .

LCM of Denominators means LCM of 84,82,256,867 as per the given fractions.

LCM of 84,82,256,867 is 63700224 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,56,49,142

GCF of Fractions 9/84,56/82,49/256,142/867 is 1/63700224

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

Greatest Common Factor of 9,56,49,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,56,49,142 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 9,56,49,142 . The biggest common factor number is the GCF number.
So the greatest common factor 9,56,49,142 is 1.

Lets's calculate LCM of 84,82,256,867

2 84, 82, 256, 867
2 42, 41, 128, 867
3 21, 41, 64, 867
7, 41, 64, 289

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 41 x 64 x 289 = 63700224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63700224

Therefore, the GCF of Fractions 9/84,56/82,49/256,142/867 is 1/63700224

Least Common Multiple of 84,82,256,867 with GCF Formula

Least Common Multiple of 84,82,256,867 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 84,82,256,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,82,256,867) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(84,82,256,867) x common factors =1 x 24 = 24

LCM(84,82,256,867) = ( 84 × 82 × 256 × 867 ) / 24

LCM(84,82,256,867) = 1528805376 / 24

LCM(84,82,256,867) = 63700224


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 9/84, 56/82, 49/256, 142/867

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 9/84, 56/82, 49/256, 142/867?

Answer: GCF of Numerators as per given numbers 9/84, 56/82, 49/256, 142/867 is

GCF of Numerators i.e. for 9,56,49,142 is 1

LCM of denominators i.e. for 84,82,256,867 is 63700224.

Thus, GCF of Fractions is 1/63700224.Finally, GCF of Fractions for 9/84, 56/82, 49/256, 142/867 is 1/63700224.