Greatest Common Factor of 6/62, 75/63, 53/514, 675/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/62, 75/63, 53/514, 675/832

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 6/62,75/63,53/514,675/832

Given fractions are 6/62,75/63,53/514,675/832

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 6,75,53,675

Greatest Common Factor of Numerators i.e. GCF of 6,75,53,675 is 1 .

LCM of Denominators means LCM of 62,63,514,832 as per the given fractions.

LCM of 62,63,514,832 is 417598272 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,75,53,675

GCF of Fractions 6/62,75/63,53/514,675/832 is 1/417598272

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

Greatest Common Factor of 6,75,53,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,75,53,675 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 6,75,53,675 . The biggest common factor number is the GCF number.
So the greatest common factor 6,75,53,675 is 1.

Lets's calculate LCM of 62,63,514,832

2 62, 63, 514, 832
31, 63, 257, 416

∴ So the LCM of the given numbers is 2 x 31 x 63 x 257 x 416 = 417598272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/417598272

Therefore, the GCF of Fractions 6/62,75/63,53/514,675/832 is 1/417598272

Least Common Multiple of 62,63,514,832 with GCF Formula

Least Common Multiple of 62,63,514,832 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 62,63,514,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,63,514,832) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(62,63,514,832) x common factors =1 x 4 = 4

LCM(62,63,514,832) = ( 62 × 63 × 514 × 832 ) / 4

LCM(62,63,514,832) = 1670393088 / 4

LCM(62,63,514,832) = 417598272


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 6/62, 75/63, 53/514, 675/832

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 6/62, 75/63, 53/514, 675/832?

Answer: GCF of Numerators as per given numbers 6/62, 75/63, 53/514, 675/832 is

GCF of Numerators i.e. for 6,75,53,675 is 1

LCM of denominators i.e. for 62,63,514,832 is 417598272.

Thus, GCF of Fractions is 1/417598272.Finally, GCF of Fractions for 6/62, 75/63, 53/514, 675/832 is 1/417598272.