Greatest Common Factor of 4740/466, 8205/553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4740/466, 8205/553

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 4740/466,8205/553

Given fractions are 4740/466,8205/553

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 4740,8205

Greatest Common Factor of Numerators i.e. GCF of 4740,8205 is 15 .

LCM of Denominators means LCM of 466,553 as per the given fractions.

LCM of 466,553 is 257698 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4740,8205

GCF of Fractions 4740/466,8205/553 is 15/257698

3 4740, 8205
5 1580, 2735
316, 547

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 4740,8205 By Matching Biggest Common Factor Method

Greatest Common Factor of 4740,8205 By Matching Biggest Common Factor Method

Factors of 4740

List of positive integer factors of 4740 that divides 4740 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,79,158,237,316,395,474,790,948,1185,1580,2370,4740

Factors of 8205

List of positive integer factors of 8205 that divides 8205 without a remainder.

1,3,5,15,547,1641,2735,8205

Greatest Common Factor

We found the factors 4740,8205 . The biggest common factor number is the GCF number.
So the greatest common factor 4740,8205 is 15.

Lets's calculate LCM of 466,553

Given numbers has no common factors except 1. So, there LCM is their product i.e 257698

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/257698

Therefore, the GCF of Fractions 4740/466,8205/553 is 15/257698

Least Common Multiple of 466,553 with GCF Formula

Least Common Multiple of 466,553 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 466,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,553) = 1

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

GCF(466,553) x common factors =1 x 1 = 1

LCM(466,553) = ( 466 × 553 ) / 1

LCM(466,553) = 257698 / 1

LCM(466,553) = 257698


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 4740/466, 8205/553

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 4740/466, 8205/553?

Answer: GCF of Numerators as per given numbers 4740/466, 8205/553 is

GCF of Numerators i.e. for 4740,8205 is 15

LCM of denominators i.e. for 466,553 is 257698.

Thus, GCF of Fractions is 15/257698.Finally, GCF of Fractions for 4740/466, 8205/553 is 15/257698.