Greatest Common Factor of 410/85, 615/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 410/85, 615/824

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 410/85,615/824

Given fractions are 410/85,615/824

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 410,615

Greatest Common Factor of Numerators i.e. GCF of 410,615 is 205 .

LCM of Denominators means LCM of 85,824 as per the given fractions.

LCM of 85,824 is 70040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 410,615

GCF of Fractions 410/85,615/824 is 205/70040

5 410, 615
41 82, 123
2, 3

∴ So the GCF of the given numbers is 5 x 41 = 205

Greatest Common Factor of 410,615 By Matching Biggest Common Factor Method

Greatest Common Factor of 410,615 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 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Greatest Common Factor

We found the factors 410,615 . The biggest common factor number is the GCF number.
So the greatest common factor 410,615 is 205.

Lets's calculate LCM of 85,824

Given numbers has no common factors except 1. So, there LCM is their product i.e 70040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 205/70040

Therefore, the GCF of Fractions 410/85,615/824 is 205/70040

Least Common Multiple of 85,824 with GCF Formula

Least Common Multiple of 85,824 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 85,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,824) = 1

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

GCF(85,824) x common factors =1 x 1 = 1

LCM(85,824) = ( 85 × 824 ) / 1

LCM(85,824) = 70040 / 1

LCM(85,824) = 70040


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 410/85, 615/824

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 410/85, 615/824?

Answer: GCF of Numerators as per given numbers 410/85, 615/824 is

GCF of Numerators i.e. for 410,615 is 205

LCM of denominators i.e. for 85,824 is 70040.

Thus, GCF of Fractions is 205/70040.Finally, GCF of Fractions for 410/85, 615/824 is 205/70040.