Greatest Common Factor of 2025/164, 1784/8034

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2025/164, 1784/8034

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 2025/164,1784/8034

Given fractions are 2025/164,1784/8034

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 2025,1784

Greatest Common Factor of Numerators i.e. GCF of 2025,1784 is 1 .

LCM of Denominators means LCM of 164,8034 as per the given fractions.

LCM of 164,8034 is 658788 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2025,1784

GCF of Fractions 2025/164,1784/8034 is 1/658788

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2025,1784 By Matching Biggest Common Factor Method

Greatest Common Factor of 2025,1784 By Matching Biggest Common Factor Method

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

Factors of 1784

List of positive integer factors of 1784 that divides 1784 without a remainder.

1,2,4,8,223,446,892,1784

Greatest Common Factor

We found the factors 2025,1784 . The biggest common factor number is the GCF number.
So the greatest common factor 2025,1784 is 1.

Lets's calculate LCM of 164,8034

2 164, 8034
82, 4017

∴ So the LCM of the given numbers is 2 x 82 x 4017 = 658788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/658788

Therefore, the GCF of Fractions 2025/164,1784/8034 is 1/658788

Least Common Multiple of 164,8034 with GCF Formula

Least Common Multiple of 164,8034 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 164,8034 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,8034) = 2

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

GCF(164,8034) x common factors =2 x 1 = 2

LCM(164,8034) = ( 164 × 8034 ) / 2

LCM(164,8034) = 1317576 / 2

LCM(164,8034) = 658788


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 2025/164, 1784/8034

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 2025/164, 1784/8034?

Answer: GCF of Numerators as per given numbers 2025/164, 1784/8034 is

GCF of Numerators i.e. for 2025,1784 is 1

LCM of denominators i.e. for 164,8034 is 658788.

Thus, GCF of Fractions is 1/658788.Finally, GCF of Fractions for 2025/164, 1784/8034 is 1/658788.