Greatest Common Factor of 615/52, 154/49, 732/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 615/52, 154/49, 732/645

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 615/52,154/49,732/645

Given fractions are 615/52,154/49,732/645

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 615,154,732

Greatest Common Factor of Numerators i.e. GCF of 615,154,732 is 1 .

LCM of Denominators means LCM of 52,49,645 as per the given fractions.

LCM of 52,49,645 is 1643460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 615,154,732

GCF of Fractions 615/52,154/49,732/645 is 1/1643460

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

Greatest Common Factor of 615,154,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,154,732 By Matching Biggest Common Factor Method

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 615,154,732 . The biggest common factor number is the GCF number.
So the greatest common factor 615,154,732 is 1.

Lets's calculate LCM of 52,49,645

Given numbers has no common factors except 1. So, there LCM is their product i.e 1643460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1643460

Therefore, the GCF of Fractions 615/52,154/49,732/645 is 1/1643460

Least Common Multiple of 52,49,645 with GCF Formula

Least Common Multiple of 52,49,645 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 52,49,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,49,645) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(52,49,645) x common factors =1 x 1 = 1

LCM(52,49,645) = ( 52 × 49 × 645 ) / 1

LCM(52,49,645) = 1643460 / 1

LCM(52,49,645) = 1643460


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 615/52, 154/49, 732/645

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 615/52, 154/49, 732/645?

Answer: GCF of Numerators as per given numbers 615/52, 154/49, 732/645 is

GCF of Numerators i.e. for 615,154,732 is 1

LCM of denominators i.e. for 52,49,645 is 1643460.

Thus, GCF of Fractions is 1/1643460.Finally, GCF of Fractions for 615/52, 154/49, 732/645 is 1/1643460.