Greatest Common Factor of 84/87, 18/509, 898/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/87, 18/509, 898/218

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 84/87,18/509,898/218

Given fractions are 84/87,18/509,898/218

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 84,18,898

Greatest Common Factor of Numerators i.e. GCF of 84,18,898 is 2 .

LCM of Denominators means LCM of 87,509,218 as per the given fractions.

LCM of 87,509,218 is 9653694 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,18,898

GCF of Fractions 84/87,18/509,898/218 is 2/9653694

2 84, 18, 898
42, 9, 449

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 84,18,898 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,18,898 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Greatest Common Factor

We found the factors 84,18,898 . The biggest common factor number is the GCF number.
So the greatest common factor 84,18,898 is 2.

Lets's calculate LCM of 87,509,218

Given numbers has no common factors except 1. So, there LCM is their product i.e 9653694

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9653694

Therefore, the GCF of Fractions 84/87,18/509,898/218 is 2/9653694

Least Common Multiple of 87,509,218 with GCF Formula

Least Common Multiple of 87,509,218 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 87,509,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,509,218) = 1

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

GCF(87,509,218) x common factors =1 x 1 = 1

LCM(87,509,218) = ( 87 × 509 × 218 ) / 1

LCM(87,509,218) = 9653694 / 1

LCM(87,509,218) = 9653694


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 84/87, 18/509, 898/218

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 84/87, 18/509, 898/218?

Answer: GCF of Numerators as per given numbers 84/87, 18/509, 898/218 is

GCF of Numerators i.e. for 84,18,898 is 2

LCM of denominators i.e. for 87,509,218 is 9653694.

Thus, GCF of Fractions is 2/9653694.Finally, GCF of Fractions for 84/87, 18/509, 898/218 is 2/9653694.