Greatest Common Factor of 4960/87, 1945/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4960/87, 1945/180

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 4960/87,1945/180

Given fractions are 4960/87,1945/180

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 4960,1945

Greatest Common Factor of Numerators i.e. GCF of 4960,1945 is 5 .

LCM of Denominators means LCM of 87,180 as per the given fractions.

LCM of 87,180 is 5220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4960,1945

GCF of Fractions 4960/87,1945/180 is 5/5220

5 4960, 1945
992, 389

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 4960,1945 By Matching Biggest Common Factor Method

Greatest Common Factor of 4960,1945 By Matching Biggest Common Factor Method

Factors of 4960

List of positive integer factors of 4960 that divides 4960 without a remainder.

1,2,4,5,8,10,16,20,31,32,40,62,80,124,155,160,248,310,496,620,992,1240,2480,4960

Factors of 1945

List of positive integer factors of 1945 that divides 1945 without a remainder.

1,5,389,1945

Greatest Common Factor

We found the factors 4960,1945 . The biggest common factor number is the GCF number.
So the greatest common factor 4960,1945 is 5.

Lets's calculate LCM of 87,180

3 87, 180
29, 60

∴ So the LCM of the given numbers is 3 x 29 x 60 = 5220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/5220

Therefore, the GCF of Fractions 4960/87,1945/180 is 5/5220

Least Common Multiple of 87,180 with GCF Formula

Least Common Multiple of 87,180 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 87,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,180) = 3

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

GCF(87,180) x common factors =3 x 1 = 3

LCM(87,180) = ( 87 × 180 ) / 3

LCM(87,180) = 15660 / 3

LCM(87,180) = 5220


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 4960/87, 1945/180

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 4960/87, 1945/180?

Answer: GCF of Numerators as per given numbers 4960/87, 1945/180 is

GCF of Numerators i.e. for 4960,1945 is 5

LCM of denominators i.e. for 87,180 is 5220.

Thus, GCF of Fractions is 5/5220.Finally, GCF of Fractions for 4960/87, 1945/180 is 5/5220.