Greatest Common Factor of 906/667, 889/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 906/667, 889/418

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 906/667,889/418

Given fractions are 906/667,889/418

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 906,889

Greatest Common Factor of Numerators i.e. GCF of 906,889 is 1 .

LCM of Denominators means LCM of 667,418 as per the given fractions.

LCM of 667,418 is 278806 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 906,889

GCF of Fractions 906/667,889/418 is 1/278806

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

Greatest Common Factor of 906,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 906,889 By Matching Biggest Common Factor Method

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 906,889 . The biggest common factor number is the GCF number.
So the greatest common factor 906,889 is 1.

Lets's calculate LCM of 667,418

Given numbers has no common factors except 1. So, there LCM is their product i.e 278806

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/278806

Therefore, the GCF of Fractions 906/667,889/418 is 1/278806

Least Common Multiple of 667,418 with GCF Formula

Least Common Multiple of 667,418 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 667,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(667,418) = 1

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

GCF(667,418) x common factors =1 x 1 = 1

LCM(667,418) = ( 667 × 418 ) / 1

LCM(667,418) = 278806 / 1

LCM(667,418) = 278806


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 906/667, 889/418

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 906/667, 889/418?

Answer: GCF of Numerators as per given numbers 906/667, 889/418 is

GCF of Numerators i.e. for 906,889 is 1

LCM of denominators i.e. for 667,418 is 278806.

Thus, GCF of Fractions is 1/278806.Finally, GCF of Fractions for 906/667, 889/418 is 1/278806.