Greatest Common Factor of 654/495, 289/753, 374/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 654/495, 289/753, 374/400

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 654/495,289/753,374/400

Given fractions are 654/495,289/753,374/400

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 654,289,374

Greatest Common Factor of Numerators i.e. GCF of 654,289,374 is 1 .

LCM of Denominators means LCM of 495,753,400 as per the given fractions.

LCM of 495,753,400 is 9939600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 654,289,374

GCF of Fractions 654/495,289/753,374/400 is 1/9939600

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

Greatest Common Factor of 654,289,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,289,374 By Matching Biggest Common Factor Method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 654,289,374 . The biggest common factor number is the GCF number.
So the greatest common factor 654,289,374 is 1.

Lets's calculate LCM of 495,753,400

3 495, 753, 400
5 165, 251, 400
33, 251, 80

∴ So the LCM of the given numbers is 3 x 5 x 33 x 251 x 80 = 9939600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9939600

Therefore, the GCF of Fractions 654/495,289/753,374/400 is 1/9939600

Least Common Multiple of 495,753,400 with GCF Formula

Least Common Multiple of 495,753,400 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 495,753,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,753,400) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(495,753,400) x common factors =1 x 15 = 15

LCM(495,753,400) = ( 495 × 753 × 400 ) / 15

LCM(495,753,400) = 149094000 / 15

LCM(495,753,400) = 9939600


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 654/495, 289/753, 374/400

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 654/495, 289/753, 374/400?

Answer: GCF of Numerators as per given numbers 654/495, 289/753, 374/400 is

GCF of Numerators i.e. for 654,289,374 is 1

LCM of denominators i.e. for 495,753,400 is 9939600.

Thus, GCF of Fractions is 1/9939600.Finally, GCF of Fractions for 654/495, 289/753, 374/400 is 1/9939600.