Greatest Common Factor of 377/16, 290/5588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 377/16, 290/5588

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 377/16,290/5588

Given fractions are 377/16,290/5588

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 377,290

Greatest Common Factor of Numerators i.e. GCF of 377,290 is 29 .

LCM of Denominators means LCM of 16,5588 as per the given fractions.

LCM of 16,5588 is 22352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 377,290

GCF of Fractions 377/16,290/5588 is 29/22352

29 377, 290
13, 10

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 377,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 377,290 By Matching Biggest Common Factor Method

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 377,290 . The biggest common factor number is the GCF number.
So the greatest common factor 377,290 is 29.

Lets's calculate LCM of 16,5588

2 16, 5588
2 8, 2794
4, 1397

∴ So the LCM of the given numbers is 2 x 2 x 4 x 1397 = 22352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/22352

Therefore, the GCF of Fractions 377/16,290/5588 is 29/22352

Least Common Multiple of 16,5588 with GCF Formula

Least Common Multiple of 16,5588 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 16,5588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,5588) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(16,5588) x common factors =4 x 1 = 4

LCM(16,5588) = ( 16 × 5588 ) / 4

LCM(16,5588) = 89408 / 4

LCM(16,5588) = 22352


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 377/16, 290/5588

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 377/16, 290/5588?

Answer: GCF of Numerators as per given numbers 377/16, 290/5588 is

GCF of Numerators i.e. for 377,290 is 29

LCM of denominators i.e. for 16,5588 is 22352.

Thus, GCF of Fractions is 29/22352.Finally, GCF of Fractions for 377/16, 290/5588 is 29/22352.