Greatest Common Factor of 588/760, 6034/1836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 588/760, 6034/1836

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 588/760,6034/1836

Given fractions are 588/760,6034/1836

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 588,6034

Greatest Common Factor of Numerators i.e. GCF of 588,6034 is 14 .

LCM of Denominators means LCM of 760,1836 as per the given fractions.

LCM of 760,1836 is 348840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 588,6034

GCF of Fractions 588/760,6034/1836 is 14/348840

2 588, 6034
7 294, 3017
42, 431

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 588,6034 By Matching Biggest Common Factor Method

Greatest Common Factor of 588,6034 By Matching Biggest Common Factor Method

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 6034

List of positive integer factors of 6034 that divides 6034 without a remainder.

1,2,7,14,431,862,3017,6034

Greatest Common Factor

We found the factors 588,6034 . The biggest common factor number is the GCF number.
So the greatest common factor 588,6034 is 14.

Lets's calculate LCM of 760,1836

2 760, 1836
2 380, 918
190, 459

∴ So the LCM of the given numbers is 2 x 2 x 190 x 459 = 348840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/348840

Therefore, the GCF of Fractions 588/760,6034/1836 is 14/348840

Least Common Multiple of 760,1836 with GCF Formula

Least Common Multiple of 760,1836 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 760,1836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,1836) = 4

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

GCF(760,1836) x common factors =4 x 1 = 4

LCM(760,1836) = ( 760 × 1836 ) / 4

LCM(760,1836) = 1395360 / 4

LCM(760,1836) = 348840


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 588/760, 6034/1836

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 588/760, 6034/1836?

Answer: GCF of Numerators as per given numbers 588/760, 6034/1836 is

GCF of Numerators i.e. for 588,6034 is 14

LCM of denominators i.e. for 760,1836 is 348840.

Thus, GCF of Fractions is 14/348840.Finally, GCF of Fractions for 588/760, 6034/1836 is 14/348840.