Greatest Common Factor of 915/58, 960/4208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 915/58, 960/4208

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 915/58,960/4208

Given fractions are 915/58,960/4208

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 915,960

Greatest Common Factor of Numerators i.e. GCF of 915,960 is 15 .

LCM of Denominators means LCM of 58,4208 as per the given fractions.

LCM of 58,4208 is 122032 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 915,960

GCF of Fractions 915/58,960/4208 is 15/122032

3 915, 960
5 305, 320
61, 64

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 915,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 915,960 By Matching Biggest Common Factor Method

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 915,960 . The biggest common factor number is the GCF number.
So the greatest common factor 915,960 is 15.

Lets's calculate LCM of 58,4208

2 58, 4208
29, 2104

∴ So the LCM of the given numbers is 2 x 29 x 2104 = 122032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/122032

Therefore, the GCF of Fractions 915/58,960/4208 is 15/122032

Least Common Multiple of 58,4208 with GCF Formula

Least Common Multiple of 58,4208 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 58,4208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,4208) = 2

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

GCF(58,4208) x common factors =2 x 1 = 2

LCM(58,4208) = ( 58 × 4208 ) / 2

LCM(58,4208) = 244064 / 2

LCM(58,4208) = 122032


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 915/58, 960/4208

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 915/58, 960/4208?

Answer: GCF of Numerators as per given numbers 915/58, 960/4208 is

GCF of Numerators i.e. for 915,960 is 15

LCM of denominators i.e. for 58,4208 is 122032.

Thus, GCF of Fractions is 15/122032.Finally, GCF of Fractions for 915/58, 960/4208 is 15/122032.