Greatest Common Factor of 410/709, 1874/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 410/709, 1874/508

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 410/709,1874/508

Given fractions are 410/709,1874/508

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 410,1874

Greatest Common Factor of Numerators i.e. GCF of 410,1874 is 2 .

LCM of Denominators means LCM of 709,508 as per the given fractions.

LCM of 709,508 is 360172 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 410,1874

GCF of Fractions 410/709,1874/508 is 2/360172

2 410, 1874
205, 937

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

Greatest Common Factor of 410,1874 By Matching Biggest Common Factor Method

Greatest Common Factor of 410,1874 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 1874

List of positive integer factors of 1874 that divides 1874 without a remainder.

1,2,937,1874

Greatest Common Factor

We found the factors 410,1874 . The biggest common factor number is the GCF number.
So the greatest common factor 410,1874 is 2.

Lets's calculate LCM of 709,508

Given numbers has no common factors except 1. So, there LCM is their product i.e 360172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/360172

Therefore, the GCF of Fractions 410/709,1874/508 is 2/360172

Least Common Multiple of 709,508 with GCF Formula

Least Common Multiple of 709,508 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 709,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(709,508) = 1

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

GCF(709,508) x common factors =1 x 1 = 1

LCM(709,508) = ( 709 × 508 ) / 1

LCM(709,508) = 360172 / 1

LCM(709,508) = 360172


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 410/709, 1874/508

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 410/709, 1874/508?

Answer: GCF of Numerators as per given numbers 410/709, 1874/508 is

GCF of Numerators i.e. for 410,1874 is 2

LCM of denominators i.e. for 709,508 is 360172.

Thus, GCF of Fractions is 2/360172.Finally, GCF of Fractions for 410/709, 1874/508 is 2/360172.