Greatest Common Factor of 332/22, 960/1825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 332/22, 960/1825

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 332/22,960/1825

Given fractions are 332/22,960/1825

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 332,960

Greatest Common Factor of Numerators i.e. GCF of 332,960 is 4 .

LCM of Denominators means LCM of 22,1825 as per the given fractions.

LCM of 22,1825 is 40150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 332,960

GCF of Fractions 332/22,960/1825 is 4/40150

2 332, 960
2 166, 480
83, 240

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 332,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 332,960 By Matching Biggest Common Factor Method

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

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 332,960 . The biggest common factor number is the GCF number.
So the greatest common factor 332,960 is 4.

Lets's calculate LCM of 22,1825

Given numbers has no common factors except 1. So, there LCM is their product i.e 40150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/40150

Therefore, the GCF of Fractions 332/22,960/1825 is 4/40150

Least Common Multiple of 22,1825 with GCF Formula

Least Common Multiple of 22,1825 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 22,1825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,1825) = 1

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

GCF(22,1825) x common factors =1 x 1 = 1

LCM(22,1825) = ( 22 × 1825 ) / 1

LCM(22,1825) = 40150 / 1

LCM(22,1825) = 40150


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 332/22, 960/1825

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 332/22, 960/1825?

Answer: GCF of Numerators as per given numbers 332/22, 960/1825 is

GCF of Numerators i.e. for 332,960 is 4

LCM of denominators i.e. for 22,1825 is 40150.

Thus, GCF of Fractions is 4/40150.Finally, GCF of Fractions for 332/22, 960/1825 is 4/40150.