How to Find GCF of 18/52, 289/91, 151/936?

GCF of 18/52, 289/91, 151/936

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 18/52, 289/91, 151/936 i.e 1/6552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/52, 289/91, 151/936.

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 18/52,289/91,151/936?

Given fractions are 18/52,289/91,151/936

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 18/52,289/91,151/936, numerators are 18,289,151

Denominators are 52,91,936

The GCF of 18,289,151 is 1 .

LCM of 52,91,936 is 6552.

The greatest common factor of 18/52,289/91,151/936 = [GCF of 18,289,151]/[LCM of 52,91,936]= 1/6552

Therefore, the GCF of 18/52,289/91,151/936 is 1/6552.

Greatest Common Factor of 18,289,151

To find the highest common factor of 18,289,151, we have to find the factors of both numbers and list the highest common factor.

The factors of 18 are 1, 2, 3, 6, 9, 18

The factors of 289 are 1, 17, 289

The factors of 151 are 1, 151

The HCF of 18,289,151 is 1.

Lets's calculate GCF of 18,289,151

Greatest Common Factor (GCF) of 18,289,151 By Common Division

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

Greatest Common Factor of 18,289,151 By Matching Biggest Common Factor Method

Now, list down the factors of 18

1,2,3,6,9,18

Now, list down the factors of 289

1,17,289

Now, list down the factors of 151

1,151

Greatest Common Factor

We found the factors 18,289,151 . The biggest common factor number is the GCF number.
So the greatest common factor 18,289,151 is 1.

Lets's calculate LCM of 52,91,936

Lowest Common Multiple of 52,91,936 using Common Division

2	52, 91, 936
2	26, 91, 468
13	13, 91, 234
	1, 7, 18

∴ So the LCM of the given numbers is 2 x 2 x 13 x 1 x 7 x 18 = 6552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6552

Therefore, the GCF of Fractions 18/52,289/91,151/936 is 1/6552

Least Common Multiple of 52,91,936 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 52,91,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,91,936) = 13

common factors(in case of two or more numbers have common factors) = 52

GCF(52,91,936) x common factors =13 x 52 = 676

LCM(52,91,936) = ( 52 × 91 × 936 ) / 676

LCM(52,91,936) = 4429152 / 676

LCM(52,91,936) = 6552

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 18/52, 289/91, 151/936

1. What is the HCF of 18,289,151?

The HCF of 18,289,151 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 18/52, 289/91, 151/936?

Answer: GCF of Numerators as per given numbers 18/52, 289/91, 151/936 is

GCF of Numerators i.e. for 18,289,151 is 1

LCM of denominators i.e. for 52,91,936 is 6552.

Thus, GCF of Fractions is 1/6552.Finally, GCF of Fractions for 18/52, 289/91, 151/936 is 1/6552.