Greatest Common Factor of 4515/51, 8889/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4515/51, 8889/734

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 4515/51,8889/734

Given fractions are 4515/51,8889/734

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 4515,8889

Greatest Common Factor of Numerators i.e. GCF of 4515,8889 is 3 .

LCM of Denominators means LCM of 51,734 as per the given fractions.

LCM of 51,734 is 37434 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4515,8889

GCF of Fractions 4515/51,8889/734 is 3/37434

3 4515, 8889
1505, 2963

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4515,8889 By Matching Biggest Common Factor Method

Greatest Common Factor of 4515,8889 By Matching Biggest Common Factor Method

Factors of 4515

List of positive integer factors of 4515 that divides 4515 without a remainder.

1,3,5,7,15,21,35,43,105,129,215,301,645,903,1505,4515

Factors of 8889

List of positive integer factors of 8889 that divides 8889 without a remainder.

1,3,2963,8889

Greatest Common Factor

We found the factors 4515,8889 . The biggest common factor number is the GCF number.
So the greatest common factor 4515,8889 is 3.

Lets's calculate LCM of 51,734

Given numbers has no common factors except 1. So, there LCM is their product i.e 37434

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/37434

Therefore, the GCF of Fractions 4515/51,8889/734 is 3/37434

Least Common Multiple of 51,734 with GCF Formula

Least Common Multiple of 51,734 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 51,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,734) = 1

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

GCF(51,734) x common factors =1 x 1 = 1

LCM(51,734) = ( 51 × 734 ) / 1

LCM(51,734) = 37434 / 1

LCM(51,734) = 37434


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 4515/51, 8889/734

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 4515/51, 8889/734?

Answer: GCF of Numerators as per given numbers 4515/51, 8889/734 is

GCF of Numerators i.e. for 4515,8889 is 3

LCM of denominators i.e. for 51,734 is 37434.

Thus, GCF of Fractions is 3/37434.Finally, GCF of Fractions for 4515/51, 8889/734 is 3/37434.