Greatest Common Factor of 852/619, 2872/599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 852/619, 2872/599

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 852/619,2872/599

Given fractions are 852/619,2872/599

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 852,2872

Greatest Common Factor of Numerators i.e. GCF of 852,2872 is 4 .

LCM of Denominators means LCM of 619,599 as per the given fractions.

LCM of 619,599 is 370781 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 852,2872

GCF of Fractions 852/619,2872/599 is 4/370781

2 852, 2872
2 426, 1436
213, 718

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 852,2872 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,2872 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 2872

List of positive integer factors of 2872 that divides 2872 without a remainder.

1,2,4,8,359,718,1436,2872

Greatest Common Factor

We found the factors 852,2872 . The biggest common factor number is the GCF number.
So the greatest common factor 852,2872 is 4.

Lets's calculate LCM of 619,599

Given numbers has no common factors except 1. So, there LCM is their product i.e 370781

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/370781

Therefore, the GCF of Fractions 852/619,2872/599 is 4/370781

Least Common Multiple of 619,599 with GCF Formula

Least Common Multiple of 619,599 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 619,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(619,599) = 1

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

GCF(619,599) x common factors =1 x 1 = 1

LCM(619,599) = ( 619 × 599 ) / 1

LCM(619,599) = 370781 / 1

LCM(619,599) = 370781


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 852/619, 2872/599

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 852/619, 2872/599?

Answer: GCF of Numerators as per given numbers 852/619, 2872/599 is

GCF of Numerators i.e. for 852,2872 is 4

LCM of denominators i.e. for 619,599 is 370781.

Thus, GCF of Fractions is 4/370781.Finally, GCF of Fractions for 852/619, 2872/599 is 4/370781.