Greatest Common Factor of 795/51, 656/42, 537/603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 795/51, 656/42, 537/603

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 795/51,656/42,537/603

Given fractions are 795/51,656/42,537/603

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 795,656,537

Greatest Common Factor of Numerators i.e. GCF of 795,656,537 is 1 .

LCM of Denominators means LCM of 51,42,603 as per the given fractions.

LCM of 51,42,603 is 143514 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 795,656,537

GCF of Fractions 795/51,656/42,537/603 is 1/143514

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

Greatest Common Factor of 795,656,537 By Matching Biggest Common Factor Method

Greatest Common Factor of 795,656,537 By Matching Biggest Common Factor Method

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Greatest Common Factor

We found the factors 795,656,537 . The biggest common factor number is the GCF number.
So the greatest common factor 795,656,537 is 1.

Lets's calculate LCM of 51,42,603

3 51, 42, 603
17, 14, 201

∴ So the LCM of the given numbers is 3 x 17 x 14 x 201 = 143514

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143514

Therefore, the GCF of Fractions 795/51,656/42,537/603 is 1/143514

Least Common Multiple of 51,42,603 with GCF Formula

Least Common Multiple of 51,42,603 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 51,42,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,42,603) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(51,42,603) x common factors =3 x 3 = 9

LCM(51,42,603) = ( 51 × 42 × 603 ) / 9

LCM(51,42,603) = 1291626 / 9

LCM(51,42,603) = 143514


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 795/51, 656/42, 537/603

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 795/51, 656/42, 537/603?

Answer: GCF of Numerators as per given numbers 795/51, 656/42, 537/603 is

GCF of Numerators i.e. for 795,656,537 is 1

LCM of denominators i.e. for 51,42,603 is 143514.

Thus, GCF of Fractions is 1/143514.Finally, GCF of Fractions for 795/51, 656/42, 537/603 is 1/143514.