How to Find GCF of 558/80, 926/4204?

GCF of 558/80, 926/4204

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 558/80, 926/4204 i.e 2/84080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 558/80, 926/4204.

Enter two or more fractions separated by "commas"

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

What is the GCF of 558/80,926/4204?

Given fractions are 558/80,926/4204

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 558/80,926/4204, numerators are 558,926

Denominators are 80,4204

The GCF of 558,926 is 2 .

LCM of 80,4204 is 84080.

The greatest common factor of 558/80,926/4204 = [GCF of 558,926]/[LCM of 80,4204]= 2/84080

Therefore, the GCF of 558/80,926/4204 is 2/84080.

Greatest Common Factor of 558,926

To find the highest common factor of 558,926, 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 926 are 1, 2, 463, 926

The HCF of 558,926 is 2.

Lets's calculate GCF of 558,926

Greatest Common Factor (GCF) of 558,926 By Common Division

2	558, 926
	279, 463

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 558,926 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 926

1,2,463,926

Greatest Common Factor

We found the factors 558,926 . The biggest common factor number is the GCF number.
So the greatest common factor 558,926 is 2.

Lets's calculate LCM of 80,4204

Lowest Common Multiple of 80,4204 using Common Division

2	80, 4204
2	40, 2102
	20, 1051

∴ So the LCM of the given numbers is 2 x 2 x 20 x 1051 = 84080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/84080

Therefore, the GCF of Fractions 558/80,926/4204 is 2/84080

Least Common Multiple of 80,4204 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 80,4204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,4204) = 4

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

GCF(80,4204) x common factors =4 x 1 = 4

LCM(80,4204) = ( 80 × 4204 ) / 4

LCM(80,4204) = 336320 / 4

LCM(80,4204) = 84080

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 558/80, 926/4204

1. What is the HCF of 558,926?

The HCF of 558,926 is 2

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 558/80, 926/4204?

Answer: GCF of Numerators as per given numbers 558/80, 926/4204 is

GCF of Numerators i.e. for 558,926 is 2

LCM of denominators i.e. for 80,4204 is 84080.

Thus, GCF of Fractions is 2/84080.Finally, GCF of Fractions for 558/80, 926/4204 is 2/84080.