Greatest Common Factor of 495/239, 976/766, 146/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 495/239, 976/766, 146/928

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 495/239,976/766,146/928

Given fractions are 495/239,976/766,146/928

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 495,976,146

Greatest Common Factor of Numerators i.e. GCF of 495,976,146 is 1 .

LCM of Denominators means LCM of 239,766,928 as per the given fractions.

LCM of 239,766,928 is 84946336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 495,976,146

GCF of Fractions 495/239,976/766,146/928 is 1/84946336

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

Greatest Common Factor of 495,976,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 495,976,146 By Matching Biggest Common Factor Method

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 495,976,146 . The biggest common factor number is the GCF number.
So the greatest common factor 495,976,146 is 1.

Lets's calculate LCM of 239,766,928

2 239, 766, 928
239, 383, 464

∴ So the LCM of the given numbers is 2 x 239 x 383 x 464 = 84946336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84946336

Therefore, the GCF of Fractions 495/239,976/766,146/928 is 1/84946336

Least Common Multiple of 239,766,928 with GCF Formula

Least Common Multiple of 239,766,928 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 239,766,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(239,766,928) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(239,766,928) x common factors =1 x 2 = 2

LCM(239,766,928) = ( 239 × 766 × 928 ) / 2

LCM(239,766,928) = 169892672 / 2

LCM(239,766,928) = 84946336


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 495/239, 976/766, 146/928

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 495/239, 976/766, 146/928?

Answer: GCF of Numerators as per given numbers 495/239, 976/766, 146/928 is

GCF of Numerators i.e. for 495,976,146 is 1

LCM of denominators i.e. for 239,766,928 is 84946336.

Thus, GCF of Fractions is 1/84946336.Finally, GCF of Fractions for 495/239, 976/766, 146/928 is 1/84946336.