Greatest Common Factor of 410/650, 513/730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 410/650, 513/730

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 410/650,513/730

Given fractions are 410/650,513/730

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 410,513

Greatest Common Factor of Numerators i.e. GCF of 410,513 is 1 .

LCM of Denominators means LCM of 650,730 as per the given fractions.

LCM of 650,730 is 47450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 410,513

GCF of Fractions 410/650,513/730 is 1/47450

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

Greatest Common Factor of 410,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 410,513 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 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Greatest Common Factor

We found the factors 410,513 . The biggest common factor number is the GCF number.
So the greatest common factor 410,513 is 1.

Lets's calculate LCM of 650,730

2 650, 730
5 325, 365
65, 73

∴ So the LCM of the given numbers is 2 x 5 x 65 x 73 = 47450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47450

Therefore, the GCF of Fractions 410/650,513/730 is 1/47450

Least Common Multiple of 650,730 with GCF Formula

Least Common Multiple of 650,730 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 650,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(650,730) = 10

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

GCF(650,730) x common factors =10 x 1 = 10

LCM(650,730) = ( 650 × 730 ) / 10

LCM(650,730) = 474500 / 10

LCM(650,730) = 47450


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 410/650, 513/730

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 410/650, 513/730?

Answer: GCF of Numerators as per given numbers 410/650, 513/730 is

GCF of Numerators i.e. for 410,513 is 1

LCM of denominators i.e. for 650,730 is 47450.

Thus, GCF of Fractions is 1/47450.Finally, GCF of Fractions for 410/650, 513/730 is 1/47450.