Greatest Common Factor of 495/77, 540/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 495/77, 540/674

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 495/77,540/674

Given fractions are 495/77,540/674

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 495,540

Greatest Common Factor of Numerators i.e. GCF of 495,540 is 45 .

LCM of Denominators means LCM of 77,674 as per the given fractions.

LCM of 77,674 is 51898 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 495,540

GCF of Fractions 495/77,540/674 is 45/51898

3 495, 540
3 165, 180
5 55, 60
11, 12

∴ So the GCF of the given numbers is 3 x 3 x 5 = 45

Greatest Common Factor of 495,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 495,540 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 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 495,540 . The biggest common factor number is the GCF number.
So the greatest common factor 495,540 is 45.

Lets's calculate LCM of 77,674

Given numbers has no common factors except 1. So, there LCM is their product i.e 51898

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 45/51898

Therefore, the GCF of Fractions 495/77,540/674 is 45/51898

Least Common Multiple of 77,674 with GCF Formula

Least Common Multiple of 77,674 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 77,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,674) = 1

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

GCF(77,674) x common factors =1 x 1 = 1

LCM(77,674) = ( 77 × 674 ) / 1

LCM(77,674) = 51898 / 1

LCM(77,674) = 51898


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 495/77, 540/674

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 495/77, 540/674?

Answer: GCF of Numerators as per given numbers 495/77, 540/674 is

GCF of Numerators i.e. for 495,540 is 45

LCM of denominators i.e. for 77,674 is 51898.

Thus, GCF of Fractions is 45/51898.Finally, GCF of Fractions for 495/77, 540/674 is 45/51898.