Greatest Common Factor of 8915/672, 4135/608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8915/672, 4135/608

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 8915/672,4135/608

Given fractions are 8915/672,4135/608

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 8915,4135

Greatest Common Factor of Numerators i.e. GCF of 8915,4135 is 5 .

LCM of Denominators means LCM of 672,608 as per the given fractions.

LCM of 672,608 is 12768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8915,4135

GCF of Fractions 8915/672,4135/608 is 5/12768

5 8915, 4135
1783, 827

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

Greatest Common Factor of 8915,4135 By Matching Biggest Common Factor Method

Greatest Common Factor of 8915,4135 By Matching Biggest Common Factor Method

Factors of 8915

List of positive integer factors of 8915 that divides 8915 without a remainder.

1,5,1783,8915

Factors of 4135

List of positive integer factors of 4135 that divides 4135 without a remainder.

1,5,827,4135

Greatest Common Factor

We found the factors 8915,4135 . The biggest common factor number is the GCF number.
So the greatest common factor 8915,4135 is 5.

Lets's calculate LCM of 672,608

2 672, 608
2 336, 304
2 168, 152
2 84, 76
2 42, 38
21, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 21 x 19 = 12768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/12768

Therefore, the GCF of Fractions 8915/672,4135/608 is 5/12768

Least Common Multiple of 672,608 with GCF Formula

Least Common Multiple of 672,608 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 672,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,608) = 32

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

GCF(672,608) x common factors =32 x 1 = 32

LCM(672,608) = ( 672 × 608 ) / 32

LCM(672,608) = 408576 / 32

LCM(672,608) = 12768


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 8915/672, 4135/608

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 8915/672, 4135/608?

Answer: GCF of Numerators as per given numbers 8915/672, 4135/608 is

GCF of Numerators i.e. for 8915,4135 is 5

LCM of denominators i.e. for 672,608 is 12768.

Thus, GCF of Fractions is 5/12768.Finally, GCF of Fractions for 8915/672, 4135/608 is 5/12768.