Greatest Common Factor of 4379/562, 5162/1595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4379/562, 5162/1595

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 4379/562,5162/1595

Given fractions are 4379/562,5162/1595

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 4379,5162

Greatest Common Factor of Numerators i.e. GCF of 4379,5162 is 29 .

LCM of Denominators means LCM of 562,1595 as per the given fractions.

LCM of 562,1595 is 896390 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4379,5162

GCF of Fractions 4379/562,5162/1595 is 29/896390

29 4379, 5162
151, 178

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 4379,5162 By Matching Biggest Common Factor Method

Greatest Common Factor of 4379,5162 By Matching Biggest Common Factor Method

Factors of 4379

List of positive integer factors of 4379 that divides 4379 without a remainder.

1,29,151,4379

Factors of 5162

List of positive integer factors of 5162 that divides 5162 without a remainder.

1,2,29,58,89,178,2581,5162

Greatest Common Factor

We found the factors 4379,5162 . The biggest common factor number is the GCF number.
So the greatest common factor 4379,5162 is 29.

Lets's calculate LCM of 562,1595

Given numbers has no common factors except 1. So, there LCM is their product i.e 896390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/896390

Therefore, the GCF of Fractions 4379/562,5162/1595 is 29/896390

Least Common Multiple of 562,1595 with GCF Formula

Least Common Multiple of 562,1595 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 562,1595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(562,1595) = 1

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

GCF(562,1595) x common factors =1 x 1 = 1

LCM(562,1595) = ( 562 × 1595 ) / 1

LCM(562,1595) = 896390 / 1

LCM(562,1595) = 896390


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 4379/562, 5162/1595

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 4379/562, 5162/1595?

Answer: GCF of Numerators as per given numbers 4379/562, 5162/1595 is

GCF of Numerators i.e. for 4379,5162 is 29

LCM of denominators i.e. for 562,1595 is 896390.

Thus, GCF of Fractions is 29/896390.Finally, GCF of Fractions for 4379/562, 5162/1595 is 29/896390.