Greatest Common Factor of 6261/912, 4009/6220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6261/912, 4009/6220

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 6261/912,4009/6220

Given fractions are 6261/912,4009/6220

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 6261,4009

Greatest Common Factor of Numerators i.e. GCF of 6261,4009 is 1 .

LCM of Denominators means LCM of 912,6220 as per the given fractions.

LCM of 912,6220 is 1418160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6261,4009

GCF of Fractions 6261/912,4009/6220 is 1/1418160

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

Greatest Common Factor of 6261,4009 By Matching Biggest Common Factor Method

Greatest Common Factor of 6261,4009 By Matching Biggest Common Factor Method

Factors of 6261

List of positive integer factors of 6261 that divides 6261 without a remainder.

1,3,2087,6261

Factors of 4009

List of positive integer factors of 4009 that divides 4009 without a remainder.

1,19,211,4009

Greatest Common Factor

We found the factors 6261,4009 . The biggest common factor number is the GCF number.
So the greatest common factor 6261,4009 is 1.

Lets's calculate LCM of 912,6220

2 912, 6220
2 456, 3110
228, 1555

∴ So the LCM of the given numbers is 2 x 2 x 228 x 1555 = 1418160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1418160

Therefore, the GCF of Fractions 6261/912,4009/6220 is 1/1418160

Least Common Multiple of 912,6220 with GCF Formula

Least Common Multiple of 912,6220 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 912,6220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(912,6220) = 4

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

GCF(912,6220) x common factors =4 x 1 = 4

LCM(912,6220) = ( 912 × 6220 ) / 4

LCM(912,6220) = 5672640 / 4

LCM(912,6220) = 1418160


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 6261/912, 4009/6220

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 6261/912, 4009/6220?

Answer: GCF of Numerators as per given numbers 6261/912, 4009/6220 is

GCF of Numerators i.e. for 6261,4009 is 1

LCM of denominators i.e. for 912,6220 is 1418160.

Thus, GCF of Fractions is 1/1418160.Finally, GCF of Fractions for 6261/912, 4009/6220 is 1/1418160.