Greatest Common Factor of 2970/55, 4015/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2970/55, 4015/399

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 2970/55,4015/399

Given fractions are 2970/55,4015/399

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 2970,4015

Greatest Common Factor of Numerators i.e. GCF of 2970,4015 is 55 .

LCM of Denominators means LCM of 55,399 as per the given fractions.

LCM of 55,399 is 21945 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2970,4015

GCF of Fractions 2970/55,4015/399 is 55/21945

5 2970, 4015
11 594, 803
54, 73

∴ So the GCF of the given numbers is 5 x 11 = 55

Greatest Common Factor of 2970,4015 By Matching Biggest Common Factor Method

Greatest Common Factor of 2970,4015 By Matching Biggest Common Factor Method

Factors of 2970

List of positive integer factors of 2970 that divides 2970 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,90,99,110,135,165,198,270,297,330,495,594,990,1485,2970

Factors of 4015

List of positive integer factors of 4015 that divides 4015 without a remainder.

1,5,11,55,73,365,803,4015

Greatest Common Factor

We found the factors 2970,4015 . The biggest common factor number is the GCF number.
So the greatest common factor 2970,4015 is 55.

Lets's calculate LCM of 55,399

Given numbers has no common factors except 1. So, there LCM is their product i.e 21945

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/21945

Therefore, the GCF of Fractions 2970/55,4015/399 is 55/21945

Least Common Multiple of 55,399 with GCF Formula

Least Common Multiple of 55,399 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 55,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,399) = 1

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

GCF(55,399) x common factors =1 x 1 = 1

LCM(55,399) = ( 55 × 399 ) / 1

LCM(55,399) = 21945 / 1

LCM(55,399) = 21945


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 2970/55, 4015/399

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 2970/55, 4015/399?

Answer: GCF of Numerators as per given numbers 2970/55, 4015/399 is

GCF of Numerators i.e. for 2970,4015 is 55

LCM of denominators i.e. for 55,399 is 21945.

Thus, GCF of Fractions is 55/21945.Finally, GCF of Fractions for 2970/55, 4015/399 is 55/21945.