Greatest Common Factor of 4340/25, 3084/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4340/25, 3084/825

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 4340/25,3084/825

Given fractions are 4340/25,3084/825

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 4340,3084

Greatest Common Factor of Numerators i.e. GCF of 4340,3084 is 4 .

LCM of Denominators means LCM of 25,825 as per the given fractions.

LCM of 25,825 is 825 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4340,3084

GCF of Fractions 4340/25,3084/825 is 4/825

2 4340, 3084
2 2170, 1542
1085, 771

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

Greatest Common Factor of 4340,3084 By Matching Biggest Common Factor Method

Greatest Common Factor of 4340,3084 By Matching Biggest Common Factor Method

Factors of 4340

List of positive integer factors of 4340 that divides 4340 without a remainder.

1,2,4,5,7,10,14,20,28,31,35,62,70,124,140,155,217,310,434,620,868,1085,2170,4340

Factors of 3084

List of positive integer factors of 3084 that divides 3084 without a remainder.

1,2,3,4,6,12,257,514,771,1028,1542,3084

Greatest Common Factor

We found the factors 4340,3084 . The biggest common factor number is the GCF number.
So the greatest common factor 4340,3084 is 4.

Lets's calculate LCM of 25,825

5 25, 825
5 5, 165
1, 33

∴ So the LCM of the given numbers is 5 x 5 x 1 x 33 = 825

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/825

Therefore, the GCF of Fractions 4340/25,3084/825 is 4/825

Least Common Multiple of 25,825 with GCF Formula

Least Common Multiple of 25,825 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 25,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,825) = 25

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

GCF(25,825) x common factors =25 x 1 = 25

LCM(25,825) = ( 25 × 825 ) / 25

LCM(25,825) = 20625 / 25

LCM(25,825) = 825


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 4340/25, 3084/825

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 4340/25, 3084/825?

Answer: GCF of Numerators as per given numbers 4340/25, 3084/825 is

GCF of Numerators i.e. for 4340,3084 is 4

LCM of denominators i.e. for 25,825 is 825.

Thus, GCF of Fractions is 4/825.Finally, GCF of Fractions for 4340/25, 3084/825 is 4/825.