Greatest Common Factor of 2510/433, 7290/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2510/433, 7290/518

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 2510/433,7290/518

Given fractions are 2510/433,7290/518

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 2510,7290

Greatest Common Factor of Numerators i.e. GCF of 2510,7290 is 10 .

LCM of Denominators means LCM of 433,518 as per the given fractions.

LCM of 433,518 is 224294 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2510,7290

GCF of Fractions 2510/433,7290/518 is 10/224294

2 2510, 7290
5 1255, 3645
251, 729

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 2510,7290 By Matching Biggest Common Factor Method

Greatest Common Factor of 2510,7290 By Matching Biggest Common Factor Method

Factors of 2510

List of positive integer factors of 2510 that divides 2510 without a remainder.

1,2,5,10,251,502,1255,2510

Factors of 7290

List of positive integer factors of 7290 that divides 7290 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,243,270,405,486,729,810,1215,1458,2430,3645,7290

Greatest Common Factor

We found the factors 2510,7290 . The biggest common factor number is the GCF number.
So the greatest common factor 2510,7290 is 10.

Lets's calculate LCM of 433,518

Given numbers has no common factors except 1. So, there LCM is their product i.e 224294

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/224294

Therefore, the GCF of Fractions 2510/433,7290/518 is 10/224294

Least Common Multiple of 433,518 with GCF Formula

Least Common Multiple of 433,518 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 433,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(433,518) = 1

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

GCF(433,518) x common factors =1 x 1 = 1

LCM(433,518) = ( 433 × 518 ) / 1

LCM(433,518) = 224294 / 1

LCM(433,518) = 224294


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 2510/433, 7290/518

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 2510/433, 7290/518?

Answer: GCF of Numerators as per given numbers 2510/433, 7290/518 is

GCF of Numerators i.e. for 2510,7290 is 10

LCM of denominators i.e. for 433,518 is 224294.

Thus, GCF of Fractions is 10/224294.Finally, GCF of Fractions for 2510/433, 7290/518 is 10/224294.