LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 558/226, 599/206

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 558/226, 599/206 i.e 1/23278 easily. The following is the detailed procedure to determine the greatest common factor of fractions 558/226, 599/206.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 558/226,599/206?

Given fractions are 558/226,599/206

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 558/226,599/206, numerators are 558,599

Denominators are 226,206

The GCF of 558,599 is 1 .

LCM of 226,206 is 23278.

The greatest common factor of 558/226,599/206 = [GCF of 558,599]/[LCM of 226,206]= 1/23278

Therefore, the GCF of 558/226,599/206 is 1/23278.

Greatest Common Factor of 558,599

To find the highest common factor of 558,599, we have to find the factors of both numbers and list the highest common factor.

The factors of 558 are 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

The factors of 599 are 1, 599

The HCF of 558,599 is 1.

Lets's calculate GCF of 558,599

Greatest Common Factor (GCF) of 558,599 By Common Division

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

Greatest Common Factor of 558,599 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,599 By Matching Biggest Common Factor Method

Now, list down the factors of 558

:

1,2,3,6,9,18,31,62,93,186,279,558

Now, list down the factors of 599

:

1,599

Greatest Common Factor

We found the factors 558,599 . The biggest common factor number is the GCF number.
So the greatest common factor 558,599 is 1.

Lets's calculate LCM of 226,206

Lowest Common Multiple of 226,206 using Common Division

2 226, 206
113, 103

∴ So the LCM of the given numbers is 2 x 113 x 103 = 23278

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23278

Therefore, the GCF of Fractions 558/226,599/206 is 1/23278

Least Common Multiple of 226,206 with GCF Formula

Least Common Multiple of 226,206 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 226,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(226,206) = 2

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

GCF(226,206) x common factors =2 x 1 = 2

LCM(226,206) = ( 226 × 206 ) / 2

LCM(226,206) = 46556 / 2

LCM(226,206) = 23278


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 558/226, 599/206

1. What is the HCF of 558,599?

The HCF of 558,599 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 558/226, 599/206?

Answer: GCF of Numerators as per given numbers 558/226, 599/206 is

GCF of Numerators i.e. for 558,599 is 1

LCM of denominators i.e. for 226,206 is 23278.

Thus, GCF of Fractions is 1/23278.Finally, GCF of Fractions for 558/226, 599/206 is 1/23278.