Greatest Common Factor of 6764/410, 4225/2776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6764/410, 4225/2776

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 6764/410,4225/2776

Given fractions are 6764/410,4225/2776

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 6764,4225

Greatest Common Factor of Numerators i.e. GCF of 6764,4225 is 1 .

LCM of Denominators means LCM of 410,2776 as per the given fractions.

LCM of 410,2776 is 569080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6764,4225

GCF of Fractions 6764/410,4225/2776 is 1/569080

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

Greatest Common Factor of 6764,4225 By Matching Biggest Common Factor Method

Greatest Common Factor of 6764,4225 By Matching Biggest Common Factor Method

Factors of 6764

List of positive integer factors of 6764 that divides 6764 without a remainder.

1,2,4,19,38,76,89,178,356,1691,3382,6764

Factors of 4225

List of positive integer factors of 4225 that divides 4225 without a remainder.

1,5,13,25,65,169,325,845,4225

Greatest Common Factor

We found the factors 6764,4225 . The biggest common factor number is the GCF number.
So the greatest common factor 6764,4225 is 1.

Lets's calculate LCM of 410,2776

2 410, 2776
205, 1388

∴ So the LCM of the given numbers is 2 x 205 x 1388 = 569080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/569080

Therefore, the GCF of Fractions 6764/410,4225/2776 is 1/569080

Least Common Multiple of 410,2776 with GCF Formula

Least Common Multiple of 410,2776 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 410,2776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,2776) = 2

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

GCF(410,2776) x common factors =2 x 1 = 2

LCM(410,2776) = ( 410 × 2776 ) / 2

LCM(410,2776) = 1138160 / 2

LCM(410,2776) = 569080


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 6764/410, 4225/2776

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 6764/410, 4225/2776?

Answer: GCF of Numerators as per given numbers 6764/410, 4225/2776 is

GCF of Numerators i.e. for 6764,4225 is 1

LCM of denominators i.e. for 410,2776 is 569080.

Thus, GCF of Fractions is 1/569080.Finally, GCF of Fractions for 6764/410, 4225/2776 is 1/569080.