Greatest Common Factor of 590/584, 689/517, 742/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 590/584, 689/517, 742/412

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 590/584,689/517,742/412

Given fractions are 590/584,689/517,742/412

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 590,689,742

Greatest Common Factor of Numerators i.e. GCF of 590,689,742 is 1 .

LCM of Denominators means LCM of 584,517,412 as per the given fractions.

LCM of 584,517,412 is 31098584 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 590,689,742

GCF of Fractions 590/584,689/517,742/412 is 1/31098584

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

Greatest Common Factor of 590,689,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,689,742 By Matching Biggest Common Factor Method

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 590,689,742 . The biggest common factor number is the GCF number.
So the greatest common factor 590,689,742 is 1.

Lets's calculate LCM of 584,517,412

2 584, 517, 412
2 292, 517, 206
146, 517, 103

∴ So the LCM of the given numbers is 2 x 2 x 146 x 517 x 103 = 31098584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31098584

Therefore, the GCF of Fractions 590/584,689/517,742/412 is 1/31098584

Least Common Multiple of 584,517,412 with GCF Formula

Least Common Multiple of 584,517,412 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 584,517,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,517,412) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(584,517,412) x common factors =1 x 4 = 4

LCM(584,517,412) = ( 584 × 517 × 412 ) / 4

LCM(584,517,412) = 124394336 / 4

LCM(584,517,412) = 31098584


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 590/584, 689/517, 742/412

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 590/584, 689/517, 742/412?

Answer: GCF of Numerators as per given numbers 590/584, 689/517, 742/412 is

GCF of Numerators i.e. for 590,689,742 is 1

LCM of denominators i.e. for 584,517,412 is 31098584.

Thus, GCF of Fractions is 1/31098584.Finally, GCF of Fractions for 590/584, 689/517, 742/412 is 1/31098584.