Greatest Common Factor of 1532/652, 5655/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1532/652, 5655/154

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 1532/652,5655/154

Given fractions are 1532/652,5655/154

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 1532,5655

Greatest Common Factor of Numerators i.e. GCF of 1532,5655 is 1 .

LCM of Denominators means LCM of 652,154 as per the given fractions.

LCM of 652,154 is 50204 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1532,5655

GCF of Fractions 1532/652,5655/154 is 1/50204

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

Greatest Common Factor of 1532,5655 By Matching Biggest Common Factor Method

Greatest Common Factor of 1532,5655 By Matching Biggest Common Factor Method

Factors of 1532

List of positive integer factors of 1532 that divides 1532 without a remainder.

1,2,4,383,766,1532

Factors of 5655

List of positive integer factors of 5655 that divides 5655 without a remainder.

1,3,5,13,15,29,39,65,87,145,195,377,435,1131,1885,5655

Greatest Common Factor

We found the factors 1532,5655 . The biggest common factor number is the GCF number.
So the greatest common factor 1532,5655 is 1.

Lets's calculate LCM of 652,154

2 652, 154
326, 77

∴ So the LCM of the given numbers is 2 x 326 x 77 = 50204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50204

Therefore, the GCF of Fractions 1532/652,5655/154 is 1/50204

Least Common Multiple of 652,154 with GCF Formula

Least Common Multiple of 652,154 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 652,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(652,154) = 2

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

GCF(652,154) x common factors =2 x 1 = 2

LCM(652,154) = ( 652 × 154 ) / 2

LCM(652,154) = 100408 / 2

LCM(652,154) = 50204


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 1532/652, 5655/154

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 1532/652, 5655/154?

Answer: GCF of Numerators as per given numbers 1532/652, 5655/154 is

GCF of Numerators i.e. for 1532,5655 is 1

LCM of denominators i.e. for 652,154 is 50204.

Thus, GCF of Fractions is 1/50204.Finally, GCF of Fractions for 1532/652, 5655/154 is 1/50204.