Greatest Common Factor of 186/99, 937/31, 490/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 186/99, 937/31, 490/444

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 186/99,937/31,490/444

Given fractions are 186/99,937/31,490/444

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 186,937,490

Greatest Common Factor of Numerators i.e. GCF of 186,937,490 is 1 .

LCM of Denominators means LCM of 99,31,444 as per the given fractions.

LCM of 99,31,444 is 454212 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 186,937,490

GCF of Fractions 186/99,937/31,490/444 is 1/454212

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

Greatest Common Factor of 186,937,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 186,937,490 By Matching Biggest Common Factor Method

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Factors of 937

List of positive integer factors of 937 that divides 937 without a remainder.

1,937

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 186,937,490 . The biggest common factor number is the GCF number.
So the greatest common factor 186,937,490 is 1.


Lets's calculate LCM of 99,31,444

3 99, 31, 444
33, 31, 148

∴ So the LCM of the given numbers is 3 x 33 x 31 x 148 = 454212

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/454212

Therefore, the GCF of Fractions 186/99,937/31,490/444 is 1/454212

Least Common Multiple of 99,31,444 with GCF Formula

Least Common Multiple of 99,31,444 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 99,31,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,31,444) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(99,31,444) x common factors =1 x 3 = 3

LCM(99,31,444) = ( 99 × 31 × 444 ) / 3

LCM(99,31,444) = 1362636 / 3

LCM(99,31,444) = 454212


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 186/99, 937/31, 490/444

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 186/99, 937/31, 490/444?

Answer: GCF of Numerators as per given numbers 186/99, 937/31, 490/444 is

GCF of Numerators i.e. for 186,937,490 is 1

LCM of denominators i.e. for 99,31,444 is 454212.

Thus, GCF of Fractions is 1/454212.Finally, GCF of Fractions for 186/99, 937/31, 490/444 is 1/454212.