Greatest Common Factor of 3326/53, 9688/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3326/53, 9688/508

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 3326/53,9688/508

Given fractions are 3326/53,9688/508

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 3326,9688

Greatest Common Factor of Numerators i.e. GCF of 3326,9688 is 2 .

LCM of Denominators means LCM of 53,508 as per the given fractions.

LCM of 53,508 is 26924 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3326,9688

GCF of Fractions 3326/53,9688/508 is 2/26924

2 3326, 9688
1663, 4844

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3326,9688 By Matching Biggest Common Factor Method

Greatest Common Factor of 3326,9688 By Matching Biggest Common Factor Method

Factors of 3326

List of positive integer factors of 3326 that divides 3326 without a remainder.

1,2,1663,3326

Factors of 9688

List of positive integer factors of 9688 that divides 9688 without a remainder.

1,2,4,7,8,14,28,56,173,346,692,1211,1384,2422,4844,9688

Greatest Common Factor

We found the factors 3326,9688 . The biggest common factor number is the GCF number.
So the greatest common factor 3326,9688 is 2.

Lets's calculate LCM of 53,508

Given numbers has no common factors except 1. So, there LCM is their product i.e 26924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26924

Therefore, the GCF of Fractions 3326/53,9688/508 is 2/26924

Least Common Multiple of 53,508 with GCF Formula

Least Common Multiple of 53,508 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 53,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,508) = 1

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

GCF(53,508) x common factors =1 x 1 = 1

LCM(53,508) = ( 53 × 508 ) / 1

LCM(53,508) = 26924 / 1

LCM(53,508) = 26924


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 3326/53, 9688/508

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 3326/53, 9688/508?

Answer: GCF of Numerators as per given numbers 3326/53, 9688/508 is

GCF of Numerators i.e. for 3326,9688 is 2

LCM of denominators i.e. for 53,508 is 26924.

Thus, GCF of Fractions is 2/26924.Finally, GCF of Fractions for 3326/53, 9688/508 is 2/26924.