How to Find GCF of 558/70, 499/8012?

GCF of 558/70, 499/8012

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 558/70, 499/8012 i.e 1/280420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 558/70, 499/8012.

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 558/70,499/8012?

Given fractions are 558/70,499/8012

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 558/70,499/8012, numerators are 558,499

Denominators are 70,8012

The GCF of 558,499 is 1 .

LCM of 70,8012 is 280420.

The greatest common factor of 558/70,499/8012 = [GCF of 558,499]/[LCM of 70,8012]= 1/280420

Therefore, the GCF of 558/70,499/8012 is 1/280420.

Greatest Common Factor of 558,499

To find the highest common factor of 558,499, 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 499 are 1, 499

The HCF of 558,499 is 1.

Lets's calculate GCF of 558,499

Greatest Common Factor (GCF) of 558,499 By Common Division

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

Greatest Common Factor of 558,499 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 499

1,499

Greatest Common Factor

We found the factors 558,499 . The biggest common factor number is the GCF number.
So the greatest common factor 558,499 is 1.

Lets's calculate LCM of 70,8012

Lowest Common Multiple of 70,8012 using Common Division

2	70, 8012
	35, 4006

∴ So the LCM of the given numbers is 2 x 35 x 4006 = 280420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/280420

Therefore, the GCF of Fractions 558/70,499/8012 is 1/280420

Least Common Multiple of 70,8012 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 70,8012 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,8012) = 2

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

GCF(70,8012) x common factors =2 x 1 = 2

LCM(70,8012) = ( 70 × 8012 ) / 2

LCM(70,8012) = 560840 / 2

LCM(70,8012) = 280420

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FAQs on GCF of Fractions of 558/70, 499/8012

1. What is the HCF of 558,499?

The HCF of 558,499 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 558/70, 499/8012?

Answer: GCF of Numerators as per given numbers 558/70, 499/8012 is

GCF of Numerators i.e. for 558,499 is 1

LCM of denominators i.e. for 70,8012 is 280420.

Thus, GCF of Fractions is 1/280420.Finally, GCF of Fractions for 558/70, 499/8012 is 1/280420.