Greatest Common Factor of 513/37, 298/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 513/37, 298/870

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 513/37,298/870

Given fractions are 513/37,298/870

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 513,298

Greatest Common Factor of Numerators i.e. GCF of 513,298 is 1 .

LCM of Denominators means LCM of 37,870 as per the given fractions.

LCM of 37,870 is 32190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 513,298

GCF of Fractions 513/37,298/870 is 1/32190

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

Greatest Common Factor of 513,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,298 By Matching Biggest Common Factor Method

Factors of 513

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

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

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 513,298 . The biggest common factor number is the GCF number.
So the greatest common factor 513,298 is 1.

Lets's calculate LCM of 37,870

Given numbers has no common factors except 1. So, there LCM is their product i.e 32190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32190

Therefore, the GCF of Fractions 513/37,298/870 is 1/32190

Least Common Multiple of 37,870 with GCF Formula

Least Common Multiple of 37,870 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 37,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,870) = 1

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

GCF(37,870) x common factors =1 x 1 = 1

LCM(37,870) = ( 37 × 870 ) / 1

LCM(37,870) = 32190 / 1

LCM(37,870) = 32190


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 513/37, 298/870

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 513/37, 298/870?

Answer: GCF of Numerators as per given numbers 513/37, 298/870 is

GCF of Numerators i.e. for 513,298 is 1

LCM of denominators i.e. for 37,870 is 32190.

Thus, GCF of Fractions is 1/32190.Finally, GCF of Fractions for 513/37, 298/870 is 1/32190.