Greatest Common Factor of 5940/505, 9746/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5940/505, 9746/565

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 5940/505,9746/565

Given fractions are 5940/505,9746/565

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 5940,9746

Greatest Common Factor of Numerators i.e. GCF of 5940,9746 is 22 .

LCM of Denominators means LCM of 505,565 as per the given fractions.

LCM of 505,565 is 57065 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5940,9746

GCF of Fractions 5940/505,9746/565 is 22/57065

2 5940, 9746
11 2970, 4873
270, 443

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 5940,9746 By Matching Biggest Common Factor Method

Greatest Common Factor of 5940,9746 By Matching Biggest Common Factor Method

Factors of 5940

List of positive integer factors of 5940 that divides 5940 without a remainder.

1,2,3,4,5,6,9,10,11,12,15,18,20,22,27,30,33,36,44,45,54,55,60,66,90,99,108,110,132,135,165,180,198,220,270,297,330,396,495,540,594,660,990,1188,1485,1980,2970,5940

Factors of 9746

List of positive integer factors of 9746 that divides 9746 without a remainder.

1,2,11,22,443,886,4873,9746

Greatest Common Factor

We found the factors 5940,9746 . The biggest common factor number is the GCF number.
So the greatest common factor 5940,9746 is 22.

Lets's calculate LCM of 505,565

5 505, 565
101, 113

∴ So the LCM of the given numbers is 5 x 101 x 113 = 57065

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/57065

Therefore, the GCF of Fractions 5940/505,9746/565 is 22/57065

Least Common Multiple of 505,565 with GCF Formula

Least Common Multiple of 505,565 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 505,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,565) = 5

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

GCF(505,565) x common factors =5 x 1 = 5

LCM(505,565) = ( 505 × 565 ) / 5

LCM(505,565) = 285325 / 5

LCM(505,565) = 57065


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 5940/505, 9746/565

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 5940/505, 9746/565?

Answer: GCF of Numerators as per given numbers 5940/505, 9746/565 is

GCF of Numerators i.e. for 5940,9746 is 22

LCM of denominators i.e. for 505,565 is 57065.

Thus, GCF of Fractions is 22/57065.Finally, GCF of Fractions for 5940/505, 9746/565 is 22/57065.