Greatest Common Factor of 3793/523, 9025/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3793/523, 9025/354

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 3793/523,9025/354

Given fractions are 3793/523,9025/354

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 3793,9025

Greatest Common Factor of Numerators i.e. GCF of 3793,9025 is 1 .

LCM of Denominators means LCM of 523,354 as per the given fractions.

LCM of 523,354 is 185142 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3793,9025

GCF of Fractions 3793/523,9025/354 is 1/185142

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

Greatest Common Factor of 3793,9025 By Matching Biggest Common Factor Method

Greatest Common Factor of 3793,9025 By Matching Biggest Common Factor Method

Factors of 3793

List of positive integer factors of 3793 that divides 3793 without a remainder.

1,3793

Factors of 9025

List of positive integer factors of 9025 that divides 9025 without a remainder.

1,5,19,25,95,361,475,1805,9025

Greatest Common Factor

We found the factors 3793,9025 . The biggest common factor number is the GCF number.
So the greatest common factor 3793,9025 is 1.

Lets's calculate LCM of 523,354

Given numbers has no common factors except 1. So, there LCM is their product i.e 185142

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/185142

Therefore, the GCF of Fractions 3793/523,9025/354 is 1/185142

Least Common Multiple of 523,354 with GCF Formula

Least Common Multiple of 523,354 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 523,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,354) = 1

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

GCF(523,354) x common factors =1 x 1 = 1

LCM(523,354) = ( 523 × 354 ) / 1

LCM(523,354) = 185142 / 1

LCM(523,354) = 185142


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 3793/523, 9025/354

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 3793/523, 9025/354?

Answer: GCF of Numerators as per given numbers 3793/523, 9025/354 is

GCF of Numerators i.e. for 3793,9025 is 1

LCM of denominators i.e. for 523,354 is 185142.

Thus, GCF of Fractions is 1/185142.Finally, GCF of Fractions for 3793/523, 9025/354 is 1/185142.