Greatest Common Factor of 3016/25, 5829/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3016/25, 5829/823

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 3016/25,5829/823

Given fractions are 3016/25,5829/823

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 3016,5829

Greatest Common Factor of Numerators i.e. GCF of 3016,5829 is 29 .

LCM of Denominators means LCM of 25,823 as per the given fractions.

LCM of 25,823 is 20575 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3016,5829

GCF of Fractions 3016/25,5829/823 is 29/20575

29 3016, 5829
104, 201

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

Greatest Common Factor of 3016,5829 By Matching Biggest Common Factor Method

Greatest Common Factor of 3016,5829 By Matching Biggest Common Factor Method

Factors of 3016

List of positive integer factors of 3016 that divides 3016 without a remainder.

1,2,4,8,13,26,29,52,58,104,116,232,377,754,1508,3016

Factors of 5829

List of positive integer factors of 5829 that divides 5829 without a remainder.

1,3,29,67,87,201,1943,5829

Greatest Common Factor

We found the factors 3016,5829 . The biggest common factor number is the GCF number.
So the greatest common factor 3016,5829 is 29.

Lets's calculate LCM of 25,823

Given numbers has no common factors except 1. So, there LCM is their product i.e 20575

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/20575

Therefore, the GCF of Fractions 3016/25,5829/823 is 29/20575

Least Common Multiple of 25,823 with GCF Formula

Least Common Multiple of 25,823 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 25,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,823) = 1

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

GCF(25,823) x common factors =1 x 1 = 1

LCM(25,823) = ( 25 × 823 ) / 1

LCM(25,823) = 20575 / 1

LCM(25,823) = 20575


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 3016/25, 5829/823

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 3016/25, 5829/823?

Answer: GCF of Numerators as per given numbers 3016/25, 5829/823 is

GCF of Numerators i.e. for 3016,5829 is 29

LCM of denominators i.e. for 25,823 is 20575.

Thus, GCF of Fractions is 29/20575.Finally, GCF of Fractions for 3016/25, 5829/823 is 29/20575.