How to Find GCF of 159/364, 5486/6019?

GCF of 159/364, 5486/6019

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 159/364, 5486/6019 i.e 1/168532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 159/364, 5486/6019.

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 159/364,5486/6019?

Given fractions are 159/364,5486/6019

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 159/364,5486/6019, numerators are 159,5486

Denominators are 364,6019

The GCF of 159,5486 is 1 .

LCM of 364,6019 is 168532.

The greatest common factor of 159/364,5486/6019 = [GCF of 159,5486]/[LCM of 364,6019]= 1/168532

Therefore, the GCF of 159/364,5486/6019 is 1/168532.

Greatest Common Factor of 159,5486

To find the highest common factor of 159,5486, we have to find the factors of both numbers and list the highest common factor.

The factors of 159 are 1, 3, 53, 159

The factors of 5486 are 1, 2, 13, 26, 211, 422, 2743, 5486

The HCF of 159,5486 is 1.

Lets's calculate GCF of 159,5486

Greatest Common Factor (GCF) of 159,5486 By Common Division

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

Greatest Common Factor of 159,5486 By Matching Biggest Common Factor Method

Now, list down the factors of 159

1,3,53,159

Now, list down the factors of 5486

1,2,13,26,211,422,2743,5486

Greatest Common Factor

We found the factors 159,5486 . The biggest common factor number is the GCF number.
So the greatest common factor 159,5486 is 1.

Lets's calculate LCM of 364,6019

Lowest Common Multiple of 364,6019 using Common Division

13	364, 6019
	28, 463

∴ So the LCM of the given numbers is 13 x 28 x 463 = 168532

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/168532

Therefore, the GCF of Fractions 159/364,5486/6019 is 1/168532

Least Common Multiple of 364,6019 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 364,6019 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,6019) = 13

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

GCF(364,6019) x common factors =13 x 1 = 13

LCM(364,6019) = ( 364 × 6019 ) / 13

LCM(364,6019) = 2190916 / 13

LCM(364,6019) = 168532

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FAQs on GCF of Fractions of 159/364, 5486/6019

1. What is the HCF of 159,5486?

The HCF of 159,5486 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 159/364, 5486/6019?

Answer: GCF of Numerators as per given numbers 159/364, 5486/6019 is

GCF of Numerators i.e. for 159,5486 is 1

LCM of denominators i.e. for 364,6019 is 168532.

Thus, GCF of Fractions is 1/168532.Finally, GCF of Fractions for 159/364, 5486/6019 is 1/168532.