Greatest Common Factor of 8/78, 17/79, 74/260, 466/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/78, 17/79, 74/260, 466/612

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 8/78,17/79,74/260,466/612

Given fractions are 8/78,17/79,74/260,466/612

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 8,17,74,466

Greatest Common Factor of Numerators i.e. GCF of 8,17,74,466 is 1 .

LCM of Denominators means LCM of 78,79,260,612 as per the given fractions.

LCM of 78,79,260,612 is 3142620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,17,74,466

GCF of Fractions 8/78,17/79,74/260,466/612 is 1/3142620

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

Greatest Common Factor of 8,17,74,466 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,17,74,466 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 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Greatest Common Factor

We found the factors 8,17,74,466 . The biggest common factor number is the GCF number.
So the greatest common factor 8,17,74,466 is 1.

Lets's calculate LCM of 78,79,260,612

2 78, 79, 260, 612
2 39, 79, 130, 306
3 39, 79, 65, 153
13 13, 79, 65, 51
1, 79, 5, 51

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 1 x 79 x 5 x 51 = 3142620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3142620

Therefore, the GCF of Fractions 8/78,17/79,74/260,466/612 is 1/3142620

Least Common Multiple of 78,79,260,612 with GCF Formula

Least Common Multiple of 78,79,260,612 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 78,79,260,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,79,260,612) = 1

common factors(in case of two or more numbers have common factors) = 312

GCF(78,79,260,612) x common factors =1 x 312 = 312

LCM(78,79,260,612) = ( 78 × 79 × 260 × 612 ) / 312

LCM(78,79,260,612) = 980497440 / 312

LCM(78,79,260,612) = 3142620


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 8/78, 17/79, 74/260, 466/612

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 8/78, 17/79, 74/260, 466/612?

Answer: GCF of Numerators as per given numbers 8/78, 17/79, 74/260, 466/612 is

GCF of Numerators i.e. for 8,17,74,466 is 1

LCM of denominators i.e. for 78,79,260,612 is 3142620.

Thus, GCF of Fractions is 1/3142620.Finally, GCF of Fractions for 8/78, 17/79, 74/260, 466/612 is 1/3142620.