Greatest Common Factor of 3327/328, 1528/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3327/328, 1528/692

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 3327/328,1528/692

Given fractions are 3327/328,1528/692

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 3327,1528

Greatest Common Factor of Numerators i.e. GCF of 3327,1528 is 1 .

LCM of Denominators means LCM of 328,692 as per the given fractions.

LCM of 328,692 is 56744 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3327,1528

GCF of Fractions 3327/328,1528/692 is 1/56744

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

Greatest Common Factor of 3327,1528 By Matching Biggest Common Factor Method

Greatest Common Factor of 3327,1528 By Matching Biggest Common Factor Method

Factors of 3327

List of positive integer factors of 3327 that divides 3327 without a remainder.

1,3,1109,3327

Factors of 1528

List of positive integer factors of 1528 that divides 1528 without a remainder.

1,2,4,8,191,382,764,1528

Greatest Common Factor

We found the factors 3327,1528 . The biggest common factor number is the GCF number.
So the greatest common factor 3327,1528 is 1.

Lets's calculate LCM of 328,692

2 328, 692
2 164, 346
82, 173

∴ So the LCM of the given numbers is 2 x 2 x 82 x 173 = 56744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56744

Therefore, the GCF of Fractions 3327/328,1528/692 is 1/56744

Least Common Multiple of 328,692 with GCF Formula

Least Common Multiple of 328,692 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 328,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,692) = 4

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

GCF(328,692) x common factors =4 x 1 = 4

LCM(328,692) = ( 328 × 692 ) / 4

LCM(328,692) = 226976 / 4

LCM(328,692) = 56744


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 3327/328, 1528/692

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 3327/328, 1528/692?

Answer: GCF of Numerators as per given numbers 3327/328, 1528/692 is

GCF of Numerators i.e. for 3327,1528 is 1

LCM of denominators i.e. for 328,692 is 56744.

Thus, GCF of Fractions is 1/56744.Finally, GCF of Fractions for 3327/328, 1528/692 is 1/56744.