Greatest Common Factor of 460/64, 155/57, 382/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 460/64, 155/57, 382/572

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 460/64,155/57,382/572

Given fractions are 460/64,155/57,382/572

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 460,155,382

Greatest Common Factor of Numerators i.e. GCF of 460,155,382 is 1 .

LCM of Denominators means LCM of 64,57,572 as per the given fractions.

LCM of 64,57,572 is 521664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 460,155,382

GCF of Fractions 460/64,155/57,382/572 is 1/521664

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

Greatest Common Factor of 460,155,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,155,382 By Matching Biggest Common Factor Method

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Greatest Common Factor

We found the factors 460,155,382 . The biggest common factor number is the GCF number.
So the greatest common factor 460,155,382 is 1.

Lets's calculate LCM of 64,57,572

2 64, 57, 572
2 32, 57, 286
16, 57, 143

∴ So the LCM of the given numbers is 2 x 2 x 16 x 57 x 143 = 521664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/521664

Therefore, the GCF of Fractions 460/64,155/57,382/572 is 1/521664

Least Common Multiple of 64,57,572 with GCF Formula

Least Common Multiple of 64,57,572 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 64,57,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,57,572) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(64,57,572) x common factors =1 x 4 = 4

LCM(64,57,572) = ( 64 × 57 × 572 ) / 4

LCM(64,57,572) = 2086656 / 4

LCM(64,57,572) = 521664


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 460/64, 155/57, 382/572

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 460/64, 155/57, 382/572?

Answer: GCF of Numerators as per given numbers 460/64, 155/57, 382/572 is

GCF of Numerators i.e. for 460,155,382 is 1

LCM of denominators i.e. for 64,57,572 is 521664.

Thus, GCF of Fractions is 1/521664.Finally, GCF of Fractions for 460/64, 155/57, 382/572 is 1/521664.