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GCF of 517/78, 598/166

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 517/78, 598/166 i.e 1/6474 easily. The following is the detailed procedure to determine the greatest common factor of fractions 517/78, 598/166.

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 517/78,598/166?

Given fractions are 517/78,598/166

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 517/78,598/166, numerators are 517,598

Denominators are 78,166

The GCF of 517,598 is 1 .

LCM of 78,166 is 6474.

The greatest common factor of 517/78,598/166 = [GCF of 517,598]/[LCM of 78,166]= 1/6474

Therefore, the GCF of 517/78,598/166 is 1/6474.

Greatest Common Factor of 517,598

To find the highest common factor of 517,598, we have to find the factors of both numbers and list the highest common factor.

The factors of 517 are 1, 11, 47, 517

The factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598

The HCF of 517,598 is 1.

Lets's calculate GCF of 517,598

Greatest Common Factor (GCF) of 517,598 By Common Division

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

Greatest Common Factor of 517,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 517,598 By Matching Biggest Common Factor Method

Now, list down the factors of 517

:

1,11,47,517

Now, list down the factors of 598

:

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 517,598 . The biggest common factor number is the GCF number.
So the greatest common factor 517,598 is 1.

Lets's calculate LCM of 78,166

Lowest Common Multiple of 78,166 using Common Division

2 78, 166
39, 83

∴ So the LCM of the given numbers is 2 x 39 x 83 = 6474

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6474

Therefore, the GCF of Fractions 517/78,598/166 is 1/6474

Least Common Multiple of 78,166 with GCF Formula

Least Common Multiple of 78,166 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 78,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,166) = 2

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

GCF(78,166) x common factors =2 x 1 = 2

LCM(78,166) = ( 78 × 166 ) / 2

LCM(78,166) = 12948 / 2

LCM(78,166) = 6474


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FAQs on GCF of Fractions of 517/78, 598/166

1. What is the HCF of 517,598?

The HCF of 517,598 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 517/78, 598/166?

Answer: GCF of Numerators as per given numbers 517/78, 598/166 is

GCF of Numerators i.e. for 517,598 is 1

LCM of denominators i.e. for 78,166 is 6474.

Thus, GCF of Fractions is 1/6474.Finally, GCF of Fractions for 517/78, 598/166 is 1/6474.