Greatest Common Factor of 420/588, 374/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 420/588, 374/298

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 420/588,374/298

Given fractions are 420/588,374/298

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 420,374

Greatest Common Factor of Numerators i.e. GCF of 420,374 is 2 .

LCM of Denominators means LCM of 588,298 as per the given fractions.

LCM of 588,298 is 87612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 420,374

GCF of Fractions 420/588,374/298 is 2/87612

2 420, 374
210, 187

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

Greatest Common Factor of 420,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,374 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 420,374 . The biggest common factor number is the GCF number.
So the greatest common factor 420,374 is 2.

Lets's calculate LCM of 588,298

2 588, 298
294, 149

∴ So the LCM of the given numbers is 2 x 294 x 149 = 87612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/87612

Therefore, the GCF of Fractions 420/588,374/298 is 2/87612

Least Common Multiple of 588,298 with GCF Formula

Least Common Multiple of 588,298 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 588,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(588,298) = 2

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

GCF(588,298) x common factors =2 x 1 = 2

LCM(588,298) = ( 588 × 298 ) / 2

LCM(588,298) = 175224 / 2

LCM(588,298) = 87612


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 420/588, 374/298

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 420/588, 374/298?

Answer: GCF of Numerators as per given numbers 420/588, 374/298 is

GCF of Numerators i.e. for 420,374 is 2

LCM of denominators i.e. for 588,298 is 87612.

Thus, GCF of Fractions is 2/87612.Finally, GCF of Fractions for 420/588, 374/298 is 2/87612.