Greatest Common Factor of 1683/93, 4287/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1683/93, 4287/940

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 1683/93,4287/940

Given fractions are 1683/93,4287/940

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 1683,4287

Greatest Common Factor of Numerators i.e. GCF of 1683,4287 is 3 .

LCM of Denominators means LCM of 93,940 as per the given fractions.

LCM of 93,940 is 87420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1683,4287

GCF of Fractions 1683/93,4287/940 is 3/87420

3 1683, 4287
561, 1429

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1683,4287 By Matching Biggest Common Factor Method

Greatest Common Factor of 1683,4287 By Matching Biggest Common Factor Method

Factors of 1683

List of positive integer factors of 1683 that divides 1683 without a remainder.

1,3,9,11,17,33,51,99,153,187,561,1683

Factors of 4287

List of positive integer factors of 4287 that divides 4287 without a remainder.

1,3,1429,4287

Greatest Common Factor

We found the factors 1683,4287 . The biggest common factor number is the GCF number.
So the greatest common factor 1683,4287 is 3.

Lets's calculate LCM of 93,940

Given numbers has no common factors except 1. So, there LCM is their product i.e 87420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/87420

Therefore, the GCF of Fractions 1683/93,4287/940 is 3/87420

Least Common Multiple of 93,940 with GCF Formula

Least Common Multiple of 93,940 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 93,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,940) = 1

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

GCF(93,940) x common factors =1 x 1 = 1

LCM(93,940) = ( 93 × 940 ) / 1

LCM(93,940) = 87420 / 1

LCM(93,940) = 87420


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 1683/93, 4287/940

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 1683/93, 4287/940?

Answer: GCF of Numerators as per given numbers 1683/93, 4287/940 is

GCF of Numerators i.e. for 1683,4287 is 3

LCM of denominators i.e. for 93,940 is 87420.

Thus, GCF of Fractions is 3/87420.Finally, GCF of Fractions for 1683/93, 4287/940 is 3/87420.