Greatest Common Factor of 960/45, 220/6254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 960/45, 220/6254

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 960/45,220/6254

Given fractions are 960/45,220/6254

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 960,220

Greatest Common Factor of Numerators i.e. GCF of 960,220 is 20 .

LCM of Denominators means LCM of 45,6254 as per the given fractions.

LCM of 45,6254 is 281430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 960,220

GCF of Fractions 960/45,220/6254 is 20/281430

2 960, 220
2 480, 110
5 240, 55
48, 11

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 960,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,220 By Matching Biggest Common Factor Method

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

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Greatest Common Factor

We found the factors 960,220 . The biggest common factor number is the GCF number.
So the greatest common factor 960,220 is 20.

Lets's calculate LCM of 45,6254

Given numbers has no common factors except 1. So, there LCM is their product i.e 281430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/281430

Therefore, the GCF of Fractions 960/45,220/6254 is 20/281430

Least Common Multiple of 45,6254 with GCF Formula

Least Common Multiple of 45,6254 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 45,6254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,6254) = 1

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

GCF(45,6254) x common factors =1 x 1 = 1

LCM(45,6254) = ( 45 × 6254 ) / 1

LCM(45,6254) = 281430 / 1

LCM(45,6254) = 281430


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 960/45, 220/6254

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 960/45, 220/6254?

Answer: GCF of Numerators as per given numbers 960/45, 220/6254 is

GCF of Numerators i.e. for 960,220 is 20

LCM of denominators i.e. for 45,6254 is 281430.

Thus, GCF of Fractions is 20/281430.Finally, GCF of Fractions for 960/45, 220/6254 is 20/281430.