Greatest Common Factor of 37/14, 83/855, 293/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 37/14, 83/855, 293/999

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 37/14,83/855,293/999

Given fractions are 37/14,83/855,293/999

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 37,83,293

Greatest Common Factor of Numerators i.e. GCF of 37,83,293 is 1 .

LCM of Denominators means LCM of 14,855,999 as per the given fractions.

LCM of 14,855,999 is 1328670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 37,83,293

GCF of Fractions 37/14,83/855,293/999 is 1/1328670

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

Greatest Common Factor of 37,83,293 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,83,293 By Matching Biggest Common Factor Method

Factors of 37

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

1,37

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Greatest Common Factor

We found the factors 37,83,293 . The biggest common factor number is the GCF number.
So the greatest common factor 37,83,293 is 1.

Lets's calculate LCM of 14,855,999

3 14, 855, 999
3 14, 285, 333
14, 95, 111

∴ So the LCM of the given numbers is 3 x 3 x 14 x 95 x 111 = 1328670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1328670

Therefore, the GCF of Fractions 37/14,83/855,293/999 is 1/1328670

Least Common Multiple of 14,855,999 with GCF Formula

Least Common Multiple of 14,855,999 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 14,855,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,855,999) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(14,855,999) x common factors =1 x 9 = 9

LCM(14,855,999) = ( 14 × 855 × 999 ) / 9

LCM(14,855,999) = 11958030 / 9

LCM(14,855,999) = 1328670


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 37/14, 83/855, 293/999

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 37/14, 83/855, 293/999?

Answer: GCF of Numerators as per given numbers 37/14, 83/855, 293/999 is

GCF of Numerators i.e. for 37,83,293 is 1

LCM of denominators i.e. for 14,855,999 is 1328670.

Thus, GCF of Fractions is 1/1328670.Finally, GCF of Fractions for 37/14, 83/855, 293/999 is 1/1328670.