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GCF of 559/82, 668/494

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 559/82, 668/494 i.e 1/20254 easily. The following is the detailed procedure to determine the greatest common factor of fractions 559/82, 668/494.

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 559/82,668/494?

Given fractions are 559/82,668/494

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 559/82,668/494, numerators are 559,668

Denominators are 82,494

The GCF of 559,668 is 1 .

LCM of 82,494 is 20254.

The greatest common factor of 559/82,668/494 = [GCF of 559,668]/[LCM of 82,494]= 1/20254

Therefore, the GCF of 559/82,668/494 is 1/20254.

Greatest Common Factor of 559,668

To find the highest common factor of 559,668, we have to find the factors of both numbers and list the highest common factor.

The factors of 559 are 1, 13, 43, 559

The factors of 668 are 1, 2, 4, 167, 334, 668

The HCF of 559,668 is 1.

Lets's calculate GCF of 559,668

Greatest Common Factor (GCF) of 559,668 By Common Division

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

Greatest Common Factor of 559,668 By Matching Biggest Common Factor Method

Greatest Common Factor of 559,668 By Matching Biggest Common Factor Method

Now, list down the factors of 559

:

1,13,43,559

Now, list down the factors of 668

:

1,2,4,167,334,668

Greatest Common Factor

We found the factors 559,668 . The biggest common factor number is the GCF number.
So the greatest common factor 559,668 is 1.

Lets's calculate LCM of 82,494

Lowest Common Multiple of 82,494 using Common Division

2 82, 494
41, 247

∴ So the LCM of the given numbers is 2 x 41 x 247 = 20254

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20254

Therefore, the GCF of Fractions 559/82,668/494 is 1/20254

Least Common Multiple of 82,494 with GCF Formula

Least Common Multiple of 82,494 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 82,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,494) = 2

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

GCF(82,494) x common factors =2 x 1 = 2

LCM(82,494) = ( 82 × 494 ) / 2

LCM(82,494) = 40508 / 2

LCM(82,494) = 20254


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FAQs on GCF of Fractions of 559/82, 668/494

1. What is the HCF of 559,668?

The HCF of 559,668 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 559/82, 668/494?

Answer: GCF of Numerators as per given numbers 559/82, 668/494 is

GCF of Numerators i.e. for 559,668 is 1

LCM of denominators i.e. for 82,494 is 20254.

Thus, GCF of Fractions is 1/20254.Finally, GCF of Fractions for 559/82, 668/494 is 1/20254.