Greatest Common Factor of 426/149, 143/676, 889/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 426/149, 143/676, 889/663

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 426/149,143/676,889/663

Given fractions are 426/149,143/676,889/663

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 426,143,889

Greatest Common Factor of Numerators i.e. GCF of 426,143,889 is 1 .

LCM of Denominators means LCM of 149,676,663 as per the given fractions.

LCM of 149,676,663 is 5136924 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 426,143,889

GCF of Fractions 426/149,143/676,889/663 is 1/5136924

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

Greatest Common Factor of 426,143,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 426,143,889 By Matching Biggest Common Factor Method

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

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 426,143,889 . The biggest common factor number is the GCF number.
So the greatest common factor 426,143,889 is 1.

Lets's calculate LCM of 149,676,663

13 149, 676, 663
149, 52, 51

∴ So the LCM of the given numbers is 13 x 149 x 52 x 51 = 5136924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5136924

Therefore, the GCF of Fractions 426/149,143/676,889/663 is 1/5136924

Least Common Multiple of 149,676,663 with GCF Formula

Least Common Multiple of 149,676,663 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 149,676,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,676,663) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(149,676,663) x common factors =1 x 13 = 13

LCM(149,676,663) = ( 149 × 676 × 663 ) / 13

LCM(149,676,663) = 66780012 / 13

LCM(149,676,663) = 5136924


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 426/149, 143/676, 889/663

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 426/149, 143/676, 889/663?

Answer: GCF of Numerators as per given numbers 426/149, 143/676, 889/663 is

GCF of Numerators i.e. for 426,143,889 is 1

LCM of denominators i.e. for 149,676,663 is 5136924.

Thus, GCF of Fractions is 1/5136924.Finally, GCF of Fractions for 426/149, 143/676, 889/663 is 1/5136924.