Greatest Common Factor of 2184/358, 2025/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2184/358, 2025/782

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 2184/358,2025/782

Given fractions are 2184/358,2025/782

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 2184,2025

Greatest Common Factor of Numerators i.e. GCF of 2184,2025 is 3 .

LCM of Denominators means LCM of 358,782 as per the given fractions.

LCM of 358,782 is 139978 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2184,2025

GCF of Fractions 2184/358,2025/782 is 3/139978

3 2184, 2025
728, 675

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2184,2025 By Matching Biggest Common Factor Method

Greatest Common Factor of 2184,2025 By Matching Biggest Common Factor Method

Factors of 2184

List of positive integer factors of 2184 that divides 2184 without a remainder.

1,2,3,4,6,7,8,12,13,14,21,24,26,28,39,42,52,56,78,84,91,104,156,168,182,273,312,364,546,728,1092,2184

Factors of 2025

List of positive integer factors of 2025 that divides 2025 without a remainder.

1,3,5,9,15,25,27,45,75,81,135,225,405,675,2025

Greatest Common Factor

We found the factors 2184,2025 . The biggest common factor number is the GCF number.
So the greatest common factor 2184,2025 is 3.

Lets's calculate LCM of 358,782

2 358, 782
179, 391

∴ So the LCM of the given numbers is 2 x 179 x 391 = 139978

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/139978

Therefore, the GCF of Fractions 2184/358,2025/782 is 3/139978

Least Common Multiple of 358,782 with GCF Formula

Least Common Multiple of 358,782 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 358,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(358,782) = 2

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

GCF(358,782) x common factors =2 x 1 = 2

LCM(358,782) = ( 358 × 782 ) / 2

LCM(358,782) = 279956 / 2

LCM(358,782) = 139978


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 2184/358, 2025/782

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 2184/358, 2025/782?

Answer: GCF of Numerators as per given numbers 2184/358, 2025/782 is

GCF of Numerators i.e. for 2184,2025 is 3

LCM of denominators i.e. for 358,782 is 139978.

Thus, GCF of Fractions is 3/139978.Finally, GCF of Fractions for 2184/358, 2025/782 is 3/139978.