Greatest Common Factor of 5/57, 37/61, 93/361, 399/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/57, 37/61, 93/361, 399/692

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 5/57,37/61,93/361,399/692

Given fractions are 5/57,37/61,93/361,399/692

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 5,37,93,399

Greatest Common Factor of Numerators i.e. GCF of 5,37,93,399 is 1 .

LCM of Denominators means LCM of 57,61,361,692 as per the given fractions.

LCM of 57,61,361,692 is 45715596 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,37,93,399

GCF of Fractions 5/57,37/61,93/361,399/692 is 1/45715596

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

Greatest Common Factor of 5,37,93,399 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,37,93,399 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 5,37,93,399 . The biggest common factor number is the GCF number.
So the greatest common factor 5,37,93,399 is 1.

Lets's calculate LCM of 57,61,361,692

19 57, 61, 361, 692
3, 61, 19, 692

∴ So the LCM of the given numbers is 19 x 3 x 61 x 19 x 692 = 45715596

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45715596

Therefore, the GCF of Fractions 5/57,37/61,93/361,399/692 is 1/45715596

Least Common Multiple of 57,61,361,692 with GCF Formula

Least Common Multiple of 57,61,361,692 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 57,61,361,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,61,361,692) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(57,61,361,692) x common factors =1 x 19 = 19

LCM(57,61,361,692) = ( 57 × 61 × 361 × 692 ) / 19

LCM(57,61,361,692) = 868596324 / 19

LCM(57,61,361,692) = 45715596


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 5/57, 37/61, 93/361, 399/692

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 5/57, 37/61, 93/361, 399/692?

Answer: GCF of Numerators as per given numbers 5/57, 37/61, 93/361, 399/692 is

GCF of Numerators i.e. for 5,37,93,399 is 1

LCM of denominators i.e. for 57,61,361,692 is 45715596.

Thus, GCF of Fractions is 1/45715596.Finally, GCF of Fractions for 5/57, 37/61, 93/361, 399/692 is 1/45715596.