Greatest Common Factor of 288/3817, 559/3762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 288/3817, 559/3762

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 288/3817,559/3762

Given fractions are 288/3817,559/3762

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 288,559

Greatest Common Factor of Numerators i.e. GCF of 288,559 is 1 .

LCM of Denominators means LCM of 3817,3762 as per the given fractions.

LCM of 3817,3762 is 1305414 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 288,559

GCF of Fractions 288/3817,559/3762 is 1/1305414

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

Greatest Common Factor of 288,559 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,559 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Greatest Common Factor

We found the factors 288,559 . The biggest common factor number is the GCF number.
So the greatest common factor 288,559 is 1.

Lets's calculate LCM of 3817,3762

11 3817, 3762
347, 342

∴ So the LCM of the given numbers is 11 x 347 x 342 = 1305414

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1305414

Therefore, the GCF of Fractions 288/3817,559/3762 is 1/1305414

Least Common Multiple of 3817,3762 with GCF Formula

Least Common Multiple of 3817,3762 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 3817,3762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3817,3762) = 11

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

GCF(3817,3762) x common factors =11 x 1 = 11

LCM(3817,3762) = ( 3817 × 3762 ) / 11

LCM(3817,3762) = 14359554 / 11

LCM(3817,3762) = 1305414


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 288/3817, 559/3762

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 288/3817, 559/3762?

Answer: GCF of Numerators as per given numbers 288/3817, 559/3762 is

GCF of Numerators i.e. for 288,559 is 1

LCM of denominators i.e. for 3817,3762 is 1305414.

Thus, GCF of Fractions is 1/1305414.Finally, GCF of Fractions for 288/3817, 559/3762 is 1/1305414.