How to Find GCF of 13/155, 5994/9807?

GCF of 13/155, 5994/9807

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 13/155, 5994/9807 i.e 1/1520085 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/155, 5994/9807.

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 13/155,5994/9807?

Given fractions are 13/155,5994/9807

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 13/155,5994/9807, numerators are 13,5994

Denominators are 155,9807

The GCF of 13,5994 is 1 .

LCM of 155,9807 is 1520085.

The greatest common factor of 13/155,5994/9807 = [GCF of 13,5994]/[LCM of 155,9807]= 1/1520085

Therefore, the GCF of 13/155,5994/9807 is 1/1520085.

Greatest Common Factor of 13,5994

To find the highest common factor of 13,5994, we have to find the factors of both numbers and list the highest common factor.

The factors of 13 are 1, 13

The factors of 5994 are 1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 81, 111, 162, 222, 333, 666, 999, 1998, 2997, 5994

The HCF of 13,5994 is 1.

Lets's calculate GCF of 13,5994

Greatest Common Factor (GCF) of 13,5994 By Common Division

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

Greatest Common Factor of 13,5994 By Matching Biggest Common Factor Method

Now, list down the factors of 13

1,13

Now, list down the factors of 5994

1,2,3,6,9,18,27,37,54,74,81,111,162,222,333,666,999,1998,2997,5994

Greatest Common Factor

We found the factors 13,5994 . The biggest common factor number is the GCF number.
So the greatest common factor 13,5994 is 1.

Lets's calculate LCM of 155,9807

Lowest Common Multiple of 155,9807 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1520085

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1520085

Therefore, the GCF of Fractions 13/155,5994/9807 is 1/1520085

Least Common Multiple of 155,9807 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 155,9807 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(155,9807) = 1

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

GCF(155,9807) x common factors =1 x 1 = 1

LCM(155,9807) = ( 155 × 9807 ) / 1

LCM(155,9807) = 1520085 / 1

LCM(155,9807) = 1520085

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FAQs on GCF of Fractions of 13/155, 5994/9807

1. What is the HCF of 13,5994?

The HCF of 13,5994 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 13/155, 5994/9807?

Answer: GCF of Numerators as per given numbers 13/155, 5994/9807 is

GCF of Numerators i.e. for 13,5994 is 1

LCM of denominators i.e. for 155,9807 is 1520085.

Thus, GCF of Fractions is 1/1520085.Finally, GCF of Fractions for 13/155, 5994/9807 is 1/1520085.