Greatest Common Factor of 155/289, 5453/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 155/289, 5453/648

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 155/289,5453/648

Given fractions are 155/289,5453/648

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 155,5453

Greatest Common Factor of Numerators i.e. GCF of 155,5453 is 1 .

LCM of Denominators means LCM of 289,648 as per the given fractions.

LCM of 289,648 is 187272 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 155,5453

GCF of Fractions 155/289,5453/648 is 1/187272

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

Greatest Common Factor of 155,5453 By Matching Biggest Common Factor Method

Greatest Common Factor of 155,5453 By Matching Biggest Common Factor Method

Factors of 155

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

1,5,31,155

Factors of 5453

List of positive integer factors of 5453 that divides 5453 without a remainder.

1,7,19,41,133,287,779,5453

Greatest Common Factor

We found the factors 155,5453 . The biggest common factor number is the GCF number.
So the greatest common factor 155,5453 is 1.

Lets's calculate LCM of 289,648

Given numbers has no common factors except 1. So, there LCM is their product i.e 187272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187272

Therefore, the GCF of Fractions 155/289,5453/648 is 1/187272

Least Common Multiple of 289,648 with GCF Formula

Least Common Multiple of 289,648 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 289,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,648) = 1

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

GCF(289,648) x common factors =1 x 1 = 1

LCM(289,648) = ( 289 × 648 ) / 1

LCM(289,648) = 187272 / 1

LCM(289,648) = 187272


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 155/289, 5453/648

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 155/289, 5453/648?

Answer: GCF of Numerators as per given numbers 155/289, 5453/648 is

GCF of Numerators i.e. for 155,5453 is 1

LCM of denominators i.e. for 289,648 is 187272.

Thus, GCF of Fractions is 1/187272.Finally, GCF of Fractions for 155/289, 5453/648 is 1/187272.