Greatest Common Factor of 8/54, 90/77, 40/648, 348/873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/54, 90/77, 40/648, 348/873

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 8/54,90/77,40/648,348/873

Given fractions are 8/54,90/77,40/648,348/873

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 8,90,40,348

Greatest Common Factor of Numerators i.e. GCF of 8,90,40,348 is 2 .

LCM of Denominators means LCM of 54,77,648,873 as per the given fractions.

LCM of 54,77,648,873 is 4839912 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,90,40,348

GCF of Fractions 8/54,90/77,40/648,348/873 is 2/4839912

2 8, 90, 40, 348
4, 45, 20, 174

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8,90,40,348 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,90,40,348 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Greatest Common Factor

We found the factors 8,90,40,348 . The biggest common factor number is the GCF number.
So the greatest common factor 8,90,40,348 is 2.

Lets's calculate LCM of 54,77,648,873

2 54, 77, 648, 873
3 27, 77, 324, 873
3 9, 77, 108, 291
3 3, 77, 36, 97
1, 77, 12, 97

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 1 x 77 x 12 x 97 = 4839912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4839912

Therefore, the GCF of Fractions 8/54,90/77,40/648,348/873 is 2/4839912

Least Common Multiple of 54,77,648,873 with GCF Formula

Least Common Multiple of 54,77,648,873 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 54,77,648,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,77,648,873) = 1

common factors(in case of two or more numbers have common factors) = 486

GCF(54,77,648,873) x common factors =1 x 486 = 486

LCM(54,77,648,873) = ( 54 × 77 × 648 × 873 ) / 486

LCM(54,77,648,873) = 2352197232 / 486

LCM(54,77,648,873) = 4839912


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 8/54, 90/77, 40/648, 348/873

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 8/54, 90/77, 40/648, 348/873?

Answer: GCF of Numerators as per given numbers 8/54, 90/77, 40/648, 348/873 is

GCF of Numerators i.e. for 8,90,40,348 is 2

LCM of denominators i.e. for 54,77,648,873 is 4839912.

Thus, GCF of Fractions is 2/4839912.Finally, GCF of Fractions for 8/54, 90/77, 40/648, 348/873 is 2/4839912.