Greatest Common Factor of 104/460, 458/368, 179/818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 104/460, 458/368, 179/818

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 104/460,458/368,179/818

Given fractions are 104/460,458/368,179/818

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 104,458,179

Greatest Common Factor of Numerators i.e. GCF of 104,458,179 is 1 .

LCM of Denominators means LCM of 460,368,818 as per the given fractions.

LCM of 460,368,818 is 752560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 104,458,179

GCF of Fractions 104/460,458/368,179/818 is 1/752560

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

Greatest Common Factor of 104,458,179 By Matching Biggest Common Factor Method

Greatest Common Factor of 104,458,179 By Matching Biggest Common Factor Method

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 179

List of positive integer factors of 179 that divides 179 without a remainder.

1,179

Greatest Common Factor

We found the factors 104,458,179 . The biggest common factor number is the GCF number.
So the greatest common factor 104,458,179 is 1.

Lets's calculate LCM of 460,368,818

2 460, 368, 818
2 230, 184, 409
23 115, 92, 409
5, 4, 409

∴ So the LCM of the given numbers is 2 x 2 x 23 x 5 x 4 x 409 = 752560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/752560

Therefore, the GCF of Fractions 104/460,458/368,179/818 is 1/752560

Least Common Multiple of 460,368,818 with GCF Formula

Least Common Multiple of 460,368,818 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 460,368,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,368,818) = 2

common factors(in case of two or more numbers have common factors) = 92

GCF(460,368,818) x common factors =2 x 92 = 184

LCM(460,368,818) = ( 460 × 368 × 818 ) / 184

LCM(460,368,818) = 138471040 / 184

LCM(460,368,818) = 752560


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 104/460, 458/368, 179/818

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 104/460, 458/368, 179/818?

Answer: GCF of Numerators as per given numbers 104/460, 458/368, 179/818 is

GCF of Numerators i.e. for 104,458,179 is 1

LCM of denominators i.e. for 460,368,818 is 752560.

Thus, GCF of Fractions is 1/752560.Finally, GCF of Fractions for 104/460, 458/368, 179/818 is 1/752560.