Greatest Common Factor of 562/38, 2341/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 562/38, 2341/565

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 562/38,2341/565

Given fractions are 562/38,2341/565

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 562,2341

Greatest Common Factor of Numerators i.e. GCF of 562,2341 is 1 .

LCM of Denominators means LCM of 38,565 as per the given fractions.

LCM of 38,565 is 21470 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 562,2341

GCF of Fractions 562/38,2341/565 is 1/21470

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

Greatest Common Factor of 562,2341 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,2341 By Matching Biggest Common Factor Method

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 2341

List of positive integer factors of 2341 that divides 2341 without a remainder.

1,2341

Greatest Common Factor

We found the factors 562,2341 . The biggest common factor number is the GCF number.
So the greatest common factor 562,2341 is 1.

Lets's calculate LCM of 38,565

Given numbers has no common factors except 1. So, there LCM is their product i.e 21470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21470

Therefore, the GCF of Fractions 562/38,2341/565 is 1/21470

Least Common Multiple of 38,565 with GCF Formula

Least Common Multiple of 38,565 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 38,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,565) = 1

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

GCF(38,565) x common factors =1 x 1 = 1

LCM(38,565) = ( 38 × 565 ) / 1

LCM(38,565) = 21470 / 1

LCM(38,565) = 21470


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 562/38, 2341/565

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 562/38, 2341/565?

Answer: GCF of Numerators as per given numbers 562/38, 2341/565 is

GCF of Numerators i.e. for 562,2341 is 1

LCM of denominators i.e. for 38,565 is 21470.

Thus, GCF of Fractions is 1/21470.Finally, GCF of Fractions for 562/38, 2341/565 is 1/21470.