Greatest Common Factor of 4705/57, 9660/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4705/57, 9660/469

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 4705/57,9660/469

Given fractions are 4705/57,9660/469

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 4705,9660

Greatest Common Factor of Numerators i.e. GCF of 4705,9660 is 5 .

LCM of Denominators means LCM of 57,469 as per the given fractions.

LCM of 57,469 is 26733 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4705,9660

GCF of Fractions 4705/57,9660/469 is 5/26733

5 4705, 9660
941, 1932

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 4705,9660 By Matching Biggest Common Factor Method

Greatest Common Factor of 4705,9660 By Matching Biggest Common Factor Method

Factors of 4705

List of positive integer factors of 4705 that divides 4705 without a remainder.

1,5,941,4705

Factors of 9660

List of positive integer factors of 9660 that divides 9660 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,23,28,30,35,42,46,60,69,70,84,92,105,115,138,140,161,210,230,276,322,345,420,460,483,644,690,805,966,1380,1610,1932,2415,3220,4830,9660

Greatest Common Factor

We found the factors 4705,9660 . The biggest common factor number is the GCF number.
So the greatest common factor 4705,9660 is 5.

Lets's calculate LCM of 57,469

Given numbers has no common factors except 1. So, there LCM is their product i.e 26733

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/26733

Therefore, the GCF of Fractions 4705/57,9660/469 is 5/26733

Least Common Multiple of 57,469 with GCF Formula

Least Common Multiple of 57,469 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 57,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,469) = 1

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

GCF(57,469) x common factors =1 x 1 = 1

LCM(57,469) = ( 57 × 469 ) / 1

LCM(57,469) = 26733 / 1

LCM(57,469) = 26733


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 4705/57, 9660/469

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 4705/57, 9660/469?

Answer: GCF of Numerators as per given numbers 4705/57, 9660/469 is

GCF of Numerators i.e. for 4705,9660 is 5

LCM of denominators i.e. for 57,469 is 26733.

Thus, GCF of Fractions is 5/26733.Finally, GCF of Fractions for 4705/57, 9660/469 is 5/26733.