Greatest Common Factor of 4865/19, 7580/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4865/19, 7580/711

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 4865/19,7580/711

Given fractions are 4865/19,7580/711

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 4865,7580

Greatest Common Factor of Numerators i.e. GCF of 4865,7580 is 5 .

LCM of Denominators means LCM of 19,711 as per the given fractions.

LCM of 19,711 is 13509 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4865,7580

GCF of Fractions 4865/19,7580/711 is 5/13509

5 4865, 7580
973, 1516

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

Greatest Common Factor of 4865,7580 By Matching Biggest Common Factor Method

Greatest Common Factor of 4865,7580 By Matching Biggest Common Factor Method

Factors of 4865

List of positive integer factors of 4865 that divides 4865 without a remainder.

1,5,7,35,139,695,973,4865

Factors of 7580

List of positive integer factors of 7580 that divides 7580 without a remainder.

1,2,4,5,10,20,379,758,1516,1895,3790,7580

Greatest Common Factor

We found the factors 4865,7580 . The biggest common factor number is the GCF number.
So the greatest common factor 4865,7580 is 5.

Lets's calculate LCM of 19,711

Given numbers has no common factors except 1. So, there LCM is their product i.e 13509

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/13509

Therefore, the GCF of Fractions 4865/19,7580/711 is 5/13509

Least Common Multiple of 19,711 with GCF Formula

Least Common Multiple of 19,711 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 19,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,711) = 1

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

GCF(19,711) x common factors =1 x 1 = 1

LCM(19,711) = ( 19 × 711 ) / 1

LCM(19,711) = 13509 / 1

LCM(19,711) = 13509


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 4865/19, 7580/711

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 4865/19, 7580/711?

Answer: GCF of Numerators as per given numbers 4865/19, 7580/711 is

GCF of Numerators i.e. for 4865,7580 is 5

LCM of denominators i.e. for 19,711 is 13509.

Thus, GCF of Fractions is 5/13509.Finally, GCF of Fractions for 4865/19, 7580/711 is 5/13509.