Greatest Common Factor of 93/84, 38/31, 686/899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 93/84, 38/31, 686/899

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 93/84,38/31,686/899

Given fractions are 93/84,38/31,686/899

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 93,38,686

Greatest Common Factor of Numerators i.e. GCF of 93,38,686 is 1 .

LCM of Denominators means LCM of 84,31,899 as per the given fractions.

LCM of 84,31,899 is 75516 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 93,38,686

GCF of Fractions 93/84,38/31,686/899 is 1/75516

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

Greatest Common Factor of 93,38,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,38,686 By Matching Biggest Common Factor Method

Factors of 93

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

1,3,31,93

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 93,38,686 . The biggest common factor number is the GCF number.
So the greatest common factor 93,38,686 is 1.

Lets's calculate LCM of 84,31,899

31 84, 31, 899
84, 1, 29

∴ So the LCM of the given numbers is 31 x 84 x 1 x 29 = 75516

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75516

Therefore, the GCF of Fractions 93/84,38/31,686/899 is 1/75516

Least Common Multiple of 84,31,899 with GCF Formula

Least Common Multiple of 84,31,899 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 84,31,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,31,899) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(84,31,899) x common factors =1 x 31 = 31

LCM(84,31,899) = ( 84 × 31 × 899 ) / 31

LCM(84,31,899) = 2340996 / 31

LCM(84,31,899) = 75516


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 93/84, 38/31, 686/899

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 93/84, 38/31, 686/899?

Answer: GCF of Numerators as per given numbers 93/84, 38/31, 686/899 is

GCF of Numerators i.e. for 93,38,686 is 1

LCM of denominators i.e. for 84,31,899 is 75516.

Thus, GCF of Fractions is 1/75516.Finally, GCF of Fractions for 93/84, 38/31, 686/899 is 1/75516.