Greatest Common Factor of 6414/480, 6207/2126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6414/480, 6207/2126

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 6414/480,6207/2126

Given fractions are 6414/480,6207/2126

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 6414,6207

Greatest Common Factor of Numerators i.e. GCF of 6414,6207 is 3 .

LCM of Denominators means LCM of 480,2126 as per the given fractions.

LCM of 480,2126 is 510240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6414,6207

GCF of Fractions 6414/480,6207/2126 is 3/510240

3 6414, 6207
2138, 2069

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 6414,6207 By Matching Biggest Common Factor Method

Greatest Common Factor of 6414,6207 By Matching Biggest Common Factor Method

Factors of 6414

List of positive integer factors of 6414 that divides 6414 without a remainder.

1,2,3,6,1069,2138,3207,6414

Factors of 6207

List of positive integer factors of 6207 that divides 6207 without a remainder.

1,3,2069,6207

Greatest Common Factor

We found the factors 6414,6207 . The biggest common factor number is the GCF number.
So the greatest common factor 6414,6207 is 3.

Lets's calculate LCM of 480,2126

2 480, 2126
240, 1063

∴ So the LCM of the given numbers is 2 x 240 x 1063 = 510240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/510240

Therefore, the GCF of Fractions 6414/480,6207/2126 is 3/510240

Least Common Multiple of 480,2126 with GCF Formula

Least Common Multiple of 480,2126 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 480,2126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,2126) = 2

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

GCF(480,2126) x common factors =2 x 1 = 2

LCM(480,2126) = ( 480 × 2126 ) / 2

LCM(480,2126) = 1020480 / 2

LCM(480,2126) = 510240


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 6414/480, 6207/2126

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 6414/480, 6207/2126?

Answer: GCF of Numerators as per given numbers 6414/480, 6207/2126 is

GCF of Numerators i.e. for 6414,6207 is 3

LCM of denominators i.e. for 480,2126 is 510240.

Thus, GCF of Fractions is 3/510240.Finally, GCF of Fractions for 6414/480, 6207/2126 is 3/510240.