Greatest Common Factor of 8415/264, 5245/5620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8415/264, 5245/5620

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 8415/264,5245/5620

Given fractions are 8415/264,5245/5620

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 8415,5245

Greatest Common Factor of Numerators i.e. GCF of 8415,5245 is 5 .

LCM of Denominators means LCM of 264,5620 as per the given fractions.

LCM of 264,5620 is 370920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8415,5245

GCF of Fractions 8415/264,5245/5620 is 5/370920

5 8415, 5245
1683, 1049

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 8415,5245 By Matching Biggest Common Factor Method

Greatest Common Factor of 8415,5245 By Matching Biggest Common Factor Method

Factors of 8415

List of positive integer factors of 8415 that divides 8415 without a remainder.

1,3,5,9,11,15,17,33,45,51,55,85,99,153,165,187,255,495,561,765,935,1683,2805,8415

Factors of 5245

List of positive integer factors of 5245 that divides 5245 without a remainder.

1,5,1049,5245

Greatest Common Factor

We found the factors 8415,5245 . The biggest common factor number is the GCF number.
So the greatest common factor 8415,5245 is 5.

Lets's calculate LCM of 264,5620

2 264, 5620
2 132, 2810
66, 1405

∴ So the LCM of the given numbers is 2 x 2 x 66 x 1405 = 370920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/370920

Therefore, the GCF of Fractions 8415/264,5245/5620 is 5/370920

Least Common Multiple of 264,5620 with GCF Formula

Least Common Multiple of 264,5620 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 264,5620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,5620) = 4

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

GCF(264,5620) x common factors =4 x 1 = 4

LCM(264,5620) = ( 264 × 5620 ) / 4

LCM(264,5620) = 1483680 / 4

LCM(264,5620) = 370920


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 8415/264, 5245/5620

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 8415/264, 5245/5620?

Answer: GCF of Numerators as per given numbers 8415/264, 5245/5620 is

GCF of Numerators i.e. for 8415,5245 is 5

LCM of denominators i.e. for 264,5620 is 370920.

Thus, GCF of Fractions is 5/370920.Finally, GCF of Fractions for 8415/264, 5245/5620 is 5/370920.