Greatest Common Factor of 34/87, 889/21, 633/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/87, 889/21, 633/524

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 34/87,889/21,633/524

Given fractions are 34/87,889/21,633/524

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 34,889,633

Greatest Common Factor of Numerators i.e. GCF of 34,889,633 is 1 .

LCM of Denominators means LCM of 87,21,524 as per the given fractions.

LCM of 87,21,524 is 319116 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,889,633

GCF of Fractions 34/87,889/21,633/524 is 1/319116

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

Greatest Common Factor of 34,889,633 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,889,633 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 889

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

1,7,127,889

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Greatest Common Factor

We found the factors 34,889,633 . The biggest common factor number is the GCF number.
So the greatest common factor 34,889,633 is 1.

Lets's calculate LCM of 87,21,524

3 87, 21, 524
29, 7, 524

∴ So the LCM of the given numbers is 3 x 29 x 7 x 524 = 319116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/319116

Therefore, the GCF of Fractions 34/87,889/21,633/524 is 1/319116

Least Common Multiple of 87,21,524 with GCF Formula

Least Common Multiple of 87,21,524 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 87,21,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,21,524) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(87,21,524) x common factors =1 x 3 = 3

LCM(87,21,524) = ( 87 × 21 × 524 ) / 3

LCM(87,21,524) = 957348 / 3

LCM(87,21,524) = 319116


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 34/87, 889/21, 633/524

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 34/87, 889/21, 633/524?

Answer: GCF of Numerators as per given numbers 34/87, 889/21, 633/524 is

GCF of Numerators i.e. for 34,889,633 is 1

LCM of denominators i.e. for 87,21,524 is 319116.

Thus, GCF of Fractions is 1/319116.Finally, GCF of Fractions for 34/87, 889/21, 633/524 is 1/319116.