How to Find GCF of 52/136, 3016/9589?

GCF of 52/136, 3016/9589

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 52/136, 3016/9589 i.e 52/1304104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 52/136, 3016/9589.

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 52/136,3016/9589?

Given fractions are 52/136,3016/9589

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 52/136,3016/9589, numerators are 52,3016

Denominators are 136,9589

The GCF of 52,3016 is 52 .

LCM of 136,9589 is 1304104.

The greatest common factor of 52/136,3016/9589 = [GCF of 52,3016]/[LCM of 136,9589]= 52/1304104

Therefore, the GCF of 52/136,3016/9589 is 52/1304104.

Greatest Common Factor of 52,3016

To find the highest common factor of 52,3016, we have to find the factors of both numbers and list the highest common factor.

The factors of 52 are 1, 2, 4, 13, 26, 52

The factors of 3016 are 1, 2, 4, 8, 13, 26, 29, 52, 58, 104, 116, 232, 377, 754, 1508, 3016

The HCF of 52,3016 is 52.

Lets's calculate GCF of 52,3016

Greatest Common Factor (GCF) of 52,3016 By Common Division

2	52, 3016
2	26, 1508
13	13, 754
	1, 58

∴ So the GCF of the given numbers is 2 x 2 x 13 = 52

Greatest Common Factor of 52,3016 By Matching Biggest Common Factor Method

Now, list down the factors of 52

1,2,4,13,26,52

Now, list down the factors of 3016

1,2,4,8,13,26,29,52,58,104,116,232,377,754,1508,3016

Greatest Common Factor

We found the factors 52,3016 . The biggest common factor number is the GCF number.
So the greatest common factor 52,3016 is 52.

Lets's calculate LCM of 136,9589

Lowest Common Multiple of 136,9589 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1304104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/1304104

Therefore, the GCF of Fractions 52/136,3016/9589 is 52/1304104

Least Common Multiple of 136,9589 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 136,9589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(136,9589) = 1

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

GCF(136,9589) x common factors =1 x 1 = 1

LCM(136,9589) = ( 136 × 9589 ) / 1

LCM(136,9589) = 1304104 / 1

LCM(136,9589) = 1304104

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 52/136, 3016/9589

1. What is the HCF of 52,3016?

The HCF of 52,3016 is 52

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 52/136, 3016/9589?

Answer: GCF of Numerators as per given numbers 52/136, 3016/9589 is

GCF of Numerators i.e. for 52,3016 is 52

LCM of denominators i.e. for 136,9589 is 1304104.

Thus, GCF of Fractions is 52/1304104.Finally, GCF of Fractions for 52/136, 3016/9589 is 52/1304104.