Greatest Common Factor of 84/68, 88/17, 318/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/68, 88/17, 318/282

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 84/68,88/17,318/282

Given fractions are 84/68,88/17,318/282

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 84,88,318

Greatest Common Factor of Numerators i.e. GCF of 84,88,318 is 2 .

LCM of Denominators means LCM of 68,17,282 as per the given fractions.

LCM of 68,17,282 is 9588 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,88,318

GCF of Fractions 84/68,88/17,318/282 is 2/9588

2 84, 88, 318
42, 44, 159

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

Greatest Common Factor of 84,88,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,88,318 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 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 84,88,318 . The biggest common factor number is the GCF number.
So the greatest common factor 84,88,318 is 2.

Lets's calculate LCM of 68,17,282

2 68, 17, 282
17 34, 17, 141
2, 1, 141

∴ So the LCM of the given numbers is 2 x 17 x 2 x 1 x 141 = 9588

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9588

Therefore, the GCF of Fractions 84/68,88/17,318/282 is 2/9588

Least Common Multiple of 68,17,282 with GCF Formula

Least Common Multiple of 68,17,282 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 68,17,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,17,282) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(68,17,282) x common factors =1 x 34 = 34

LCM(68,17,282) = ( 68 × 17 × 282 ) / 34

LCM(68,17,282) = 325992 / 34

LCM(68,17,282) = 9588


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 84/68, 88/17, 318/282

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 84/68, 88/17, 318/282?

Answer: GCF of Numerators as per given numbers 84/68, 88/17, 318/282 is

GCF of Numerators i.e. for 84,88,318 is 2

LCM of denominators i.e. for 68,17,282 is 9588.

Thus, GCF of Fractions is 2/9588.Finally, GCF of Fractions for 84/68, 88/17, 318/282 is 2/9588.