Greatest Common Factor of 590/93, 675/54, 416/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 590/93, 675/54, 416/196

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 590/93,675/54,416/196

Given fractions are 590/93,675/54,416/196

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 590,675,416

Greatest Common Factor of Numerators i.e. GCF of 590,675,416 is 1 .

LCM of Denominators means LCM of 93,54,196 as per the given fractions.

LCM of 93,54,196 is 164052 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 590,675,416

GCF of Fractions 590/93,675/54,416/196 is 1/164052

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

Greatest Common Factor of 590,675,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,675,416 By Matching Biggest Common Factor Method

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 590,675,416 . The biggest common factor number is the GCF number.
So the greatest common factor 590,675,416 is 1.

Lets's calculate LCM of 93,54,196

2 93, 54, 196
3 93, 27, 98
31, 9, 98

∴ So the LCM of the given numbers is 2 x 3 x 31 x 9 x 98 = 164052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164052

Therefore, the GCF of Fractions 590/93,675/54,416/196 is 1/164052

Least Common Multiple of 93,54,196 with GCF Formula

Least Common Multiple of 93,54,196 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 93,54,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,54,196) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(93,54,196) x common factors =1 x 6 = 6

LCM(93,54,196) = ( 93 × 54 × 196 ) / 6

LCM(93,54,196) = 984312 / 6

LCM(93,54,196) = 164052


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 590/93, 675/54, 416/196

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 590/93, 675/54, 416/196?

Answer: GCF of Numerators as per given numbers 590/93, 675/54, 416/196 is

GCF of Numerators i.e. for 590,675,416 is 1

LCM of denominators i.e. for 93,54,196 is 164052.

Thus, GCF of Fractions is 1/164052.Finally, GCF of Fractions for 590/93, 675/54, 416/196 is 1/164052.