Greatest Common Factor of 220/38, 240/2998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 220/38, 240/2998

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 220/38,240/2998

Given fractions are 220/38,240/2998

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 220,240

Greatest Common Factor of Numerators i.e. GCF of 220,240 is 20 .

LCM of Denominators means LCM of 38,2998 as per the given fractions.

LCM of 38,2998 is 56962 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 220,240

GCF of Fractions 220/38,240/2998 is 20/56962

2 220, 240
2 110, 120
5 55, 60
11, 12

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

Greatest Common Factor of 220,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,240 By Matching Biggest Common Factor Method

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

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 220,240 . The biggest common factor number is the GCF number.
So the greatest common factor 220,240 is 20.

Lets's calculate LCM of 38,2998

2 38, 2998
19, 1499

∴ So the LCM of the given numbers is 2 x 19 x 1499 = 56962

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/56962

Therefore, the GCF of Fractions 220/38,240/2998 is 20/56962

Least Common Multiple of 38,2998 with GCF Formula

Least Common Multiple of 38,2998 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 38,2998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,2998) = 2

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

GCF(38,2998) x common factors =2 x 1 = 2

LCM(38,2998) = ( 38 × 2998 ) / 2

LCM(38,2998) = 113924 / 2

LCM(38,2998) = 56962


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 220/38, 240/2998

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 220/38, 240/2998?

Answer: GCF of Numerators as per given numbers 220/38, 240/2998 is

GCF of Numerators i.e. for 220,240 is 20

LCM of denominators i.e. for 38,2998 is 56962.

Thus, GCF of Fractions is 20/56962.Finally, GCF of Fractions for 220/38, 240/2998 is 20/56962.