Greatest Common Factor of 6435/253, 1688/2160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6435/253, 1688/2160

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 6435/253,1688/2160

Given fractions are 6435/253,1688/2160

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 6435,1688

Greatest Common Factor of Numerators i.e. GCF of 6435,1688 is 1 .

LCM of Denominators means LCM of 253,2160 as per the given fractions.

LCM of 253,2160 is 546480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6435,1688

GCF of Fractions 6435/253,1688/2160 is 1/546480

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

Greatest Common Factor of 6435,1688 By Matching Biggest Common Factor Method

Greatest Common Factor of 6435,1688 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 1688

List of positive integer factors of 1688 that divides 1688 without a remainder.

1,2,4,8,211,422,844,1688

Greatest Common Factor

We found the factors 6435,1688 . The biggest common factor number is the GCF number.
So the greatest common factor 6435,1688 is 1.

Lets's calculate LCM of 253,2160

Given numbers has no common factors except 1. So, there LCM is their product i.e 546480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/546480

Therefore, the GCF of Fractions 6435/253,1688/2160 is 1/546480

Least Common Multiple of 253,2160 with GCF Formula

Least Common Multiple of 253,2160 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 253,2160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,2160) = 1

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

GCF(253,2160) x common factors =1 x 1 = 1

LCM(253,2160) = ( 253 × 2160 ) / 1

LCM(253,2160) = 546480 / 1

LCM(253,2160) = 546480


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 6435/253, 1688/2160

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 6435/253, 1688/2160?

Answer: GCF of Numerators as per given numbers 6435/253, 1688/2160 is

GCF of Numerators i.e. for 6435,1688 is 1

LCM of denominators i.e. for 253,2160 is 546480.

Thus, GCF of Fractions is 1/546480.Finally, GCF of Fractions for 6435/253, 1688/2160 is 1/546480.