Greatest Common Factor of 89/43, 619/14, 638/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 89/43, 619/14, 638/872

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 89/43,619/14,638/872

Given fractions are 89/43,619/14,638/872

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 89,619,638

Greatest Common Factor of Numerators i.e. GCF of 89,619,638 is 1 .

LCM of Denominators means LCM of 43,14,872 as per the given fractions.

LCM of 43,14,872 is 262472 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 89,619,638

GCF of Fractions 89/43,619/14,638/872 is 1/262472

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

Greatest Common Factor of 89,619,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,619,638 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 89,619,638 . The biggest common factor number is the GCF number.
So the greatest common factor 89,619,638 is 1.

Lets's calculate LCM of 43,14,872

2 43, 14, 872
43, 7, 436

∴ So the LCM of the given numbers is 2 x 43 x 7 x 436 = 262472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/262472

Therefore, the GCF of Fractions 89/43,619/14,638/872 is 1/262472

Least Common Multiple of 43,14,872 with GCF Formula

Least Common Multiple of 43,14,872 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 43,14,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,14,872) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(43,14,872) x common factors =1 x 2 = 2

LCM(43,14,872) = ( 43 × 14 × 872 ) / 2

LCM(43,14,872) = 524944 / 2

LCM(43,14,872) = 262472


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 89/43, 619/14, 638/872

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 89/43, 619/14, 638/872?

Answer: GCF of Numerators as per given numbers 89/43, 619/14, 638/872 is

GCF of Numerators i.e. for 89,619,638 is 1

LCM of denominators i.e. for 43,14,872 is 262472.

Thus, GCF of Fractions is 1/262472.Finally, GCF of Fractions for 89/43, 619/14, 638/872 is 1/262472.