Greatest Common Factor of 410/58, 742/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 410/58, 742/648

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 410/58,742/648

Given fractions are 410/58,742/648

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 410,742

Greatest Common Factor of Numerators i.e. GCF of 410,742 is 2 .

LCM of Denominators means LCM of 58,648 as per the given fractions.

LCM of 58,648 is 18792 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 410,742

GCF of Fractions 410/58,742/648 is 2/18792

2 410, 742
205, 371

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

Greatest Common Factor of 410,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 410,742 By Matching Biggest Common Factor Method

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

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 410,742 . The biggest common factor number is the GCF number.
So the greatest common factor 410,742 is 2.

Lets's calculate LCM of 58,648

2 58, 648
29, 324

∴ So the LCM of the given numbers is 2 x 29 x 324 = 18792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18792

Therefore, the GCF of Fractions 410/58,742/648 is 2/18792

Least Common Multiple of 58,648 with GCF Formula

Least Common Multiple of 58,648 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 58,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,648) = 2

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

GCF(58,648) x common factors =2 x 1 = 2

LCM(58,648) = ( 58 × 648 ) / 2

LCM(58,648) = 37584 / 2

LCM(58,648) = 18792


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 410/58, 742/648

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 410/58, 742/648?

Answer: GCF of Numerators as per given numbers 410/58, 742/648 is

GCF of Numerators i.e. for 410,742 is 2

LCM of denominators i.e. for 58,648 is 18792.

Thus, GCF of Fractions is 2/18792.Finally, GCF of Fractions for 410/58, 742/648 is 2/18792.