Greatest Common Factor of 3313/82, 5904/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 3313/82, 5904/900

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 3313/82,5904/900

Given fractions are 3313/82,5904/900

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 3313,5904

Greatest Common Factor of Numerators i.e. GCF of 3313,5904 is 1 .

LCM of Denominators means LCM of 82,900 as per the given fractions.

LCM of 82,900 is 36900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3313,5904

GCF of Fractions 3313/82,5904/900 is 1/36900

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

Greatest Common Factor of 3313,5904 By Matching Biggest Common Factor Method

Greatest Common Factor of 3313,5904 By Matching Biggest Common Factor Method

Factors of 3313

List of positive integer factors of 3313 that divides 3313 without a remainder.

1,3313

Factors of 5904

List of positive integer factors of 5904 that divides 5904 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,41,48,72,82,123,144,164,246,328,369,492,656,738,984,1476,1968,2952,5904

Greatest Common Factor

We found the factors 3313,5904 . The biggest common factor number is the GCF number.
So the greatest common factor 3313,5904 is 1.


Lets's calculate LCM of 82,900

2 82, 900
41, 450

∴ So the LCM of the given numbers is 2 x 41 x 450 = 36900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36900

Therefore, the GCF of Fractions 3313/82,5904/900 is 1/36900

Least Common Multiple of 82,900 with GCF Formula

Least Common Multiple of 82,900 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 82,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,900) = 2

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

GCF(82,900) x common factors =2 x 1 = 2

LCM(82,900) = ( 82 × 900 ) / 2

LCM(82,900) = 73800 / 2

LCM(82,900) = 36900


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 3313/82, 5904/900

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 3313/82, 5904/900?

Answer: GCF of Numerators as per given numbers 3313/82, 5904/900 is

GCF of Numerators i.e. for 3313,5904 is 1

LCM of denominators i.e. for 82,900 is 36900.

Thus, GCF of Fractions is 1/36900.Finally, GCF of Fractions for 3313/82, 5904/900 is 1/36900.