Greatest Common Factor of 84/58, 52/19, 153/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/58, 52/19, 153/614

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 84/58,52/19,153/614

Given fractions are 84/58,52/19,153/614

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 84,52,153

Greatest Common Factor of Numerators i.e. GCF of 84,52,153 is 1 .

LCM of Denominators means LCM of 58,19,614 as per the given fractions.

LCM of 58,19,614 is 338314 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,52,153

GCF of Fractions 84/58,52/19,153/614 is 1/338314

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

Greatest Common Factor of 84,52,153 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,52,153 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 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Greatest Common Factor

We found the factors 84,52,153 . The biggest common factor number is the GCF number.
So the greatest common factor 84,52,153 is 1.

Lets's calculate LCM of 58,19,614

2 58, 19, 614
29, 19, 307

∴ So the LCM of the given numbers is 2 x 29 x 19 x 307 = 338314

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/338314

Therefore, the GCF of Fractions 84/58,52/19,153/614 is 1/338314

Least Common Multiple of 58,19,614 with GCF Formula

Least Common Multiple of 58,19,614 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 58,19,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,19,614) = 1

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

GCF(58,19,614) x common factors =1 x 2 = 2

LCM(58,19,614) = ( 58 × 19 × 614 ) / 2

LCM(58,19,614) = 676628 / 2

LCM(58,19,614) = 338314


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 84/58, 52/19, 153/614

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 84/58, 52/19, 153/614?

Answer: GCF of Numerators as per given numbers 84/58, 52/19, 153/614 is

GCF of Numerators i.e. for 84,52,153 is 1

LCM of denominators i.e. for 58,19,614 is 338314.

Thus, GCF of Fractions is 1/338314.Finally, GCF of Fractions for 84/58, 52/19, 153/614 is 1/338314.