Greatest Common Factor of 6435/453, 1833/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6435/453, 1833/510

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 6435/453,1833/510

Given fractions are 6435/453,1833/510

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 6435,1833

Greatest Common Factor of Numerators i.e. GCF of 6435,1833 is 39 .

LCM of Denominators means LCM of 453,510 as per the given fractions.

LCM of 453,510 is 77010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6435,1833

GCF of Fractions 6435/453,1833/510 is 39/77010

3 6435, 1833
13 2145, 611
165, 47

∴ So the GCF of the given numbers is 3 x 13 = 39

Greatest Common Factor of 6435,1833 By Matching Biggest Common Factor Method

Greatest Common Factor of 6435,1833 By Matching Biggest Common Factor Method

Factors of 6435

List of positive integer factors of 6435 that divides 6435 without a remainder.

1,3,5,9,11,13,15,33,39,45,55,65,99,117,143,165,195,429,495,585,715,1287,2145,6435

Factors of 1833

List of positive integer factors of 1833 that divides 1833 without a remainder.

1,3,13,39,47,141,611,1833

Greatest Common Factor

We found the factors 6435,1833 . The biggest common factor number is the GCF number.
So the greatest common factor 6435,1833 is 39.

Lets's calculate LCM of 453,510

3 453, 510
151, 170

∴ So the LCM of the given numbers is 3 x 151 x 170 = 77010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/77010

Therefore, the GCF of Fractions 6435/453,1833/510 is 39/77010

Least Common Multiple of 453,510 with GCF Formula

Least Common Multiple of 453,510 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 453,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(453,510) = 3

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

GCF(453,510) x common factors =3 x 1 = 3

LCM(453,510) = ( 453 × 510 ) / 3

LCM(453,510) = 231030 / 3

LCM(453,510) = 77010


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 6435/453, 1833/510

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 6435/453, 1833/510?

Answer: GCF of Numerators as per given numbers 6435/453, 1833/510 is

GCF of Numerators i.e. for 6435,1833 is 39

LCM of denominators i.e. for 453,510 is 77010.

Thus, GCF of Fractions is 39/77010.Finally, GCF of Fractions for 6435/453, 1833/510 is 39/77010.