Greatest Common Factor of 456/714, 6438/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 456/714, 6438/891

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 456/714,6438/891

Given fractions are 456/714,6438/891

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 456,6438

Greatest Common Factor of Numerators i.e. GCF of 456,6438 is 6 .

LCM of Denominators means LCM of 714,891 as per the given fractions.

LCM of 714,891 is 212058 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 456,6438

GCF of Fractions 456/714,6438/891 is 6/212058

2 456, 6438
3 228, 3219
76, 1073

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 456,6438 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,6438 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 6438

List of positive integer factors of 6438 that divides 6438 without a remainder.

1,2,3,6,29,37,58,74,87,111,174,222,1073,2146,3219,6438

Greatest Common Factor

We found the factors 456,6438 . The biggest common factor number is the GCF number.
So the greatest common factor 456,6438 is 6.

Lets's calculate LCM of 714,891

3 714, 891
238, 297

∴ So the LCM of the given numbers is 3 x 238 x 297 = 212058

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/212058

Therefore, the GCF of Fractions 456/714,6438/891 is 6/212058

Least Common Multiple of 714,891 with GCF Formula

Least Common Multiple of 714,891 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 714,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,891) = 3

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

GCF(714,891) x common factors =3 x 1 = 3

LCM(714,891) = ( 714 × 891 ) / 3

LCM(714,891) = 636174 / 3

LCM(714,891) = 212058


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 456/714, 6438/891

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 456/714, 6438/891?

Answer: GCF of Numerators as per given numbers 456/714, 6438/891 is

GCF of Numerators i.e. for 456,6438 is 6

LCM of denominators i.e. for 714,891 is 212058.

Thus, GCF of Fractions is 6/212058.Finally, GCF of Fractions for 456/714, 6438/891 is 6/212058.