How to Find GCF of 38/591, 89/254, 152/556?

GCF of 38/591, 89/254, 152/556

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 38/591, 89/254, 152/556 i.e 1/41731692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/591, 89/254, 152/556.

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 38/591,89/254,152/556?

Given fractions are 38/591,89/254,152/556

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 38/591,89/254,152/556, numerators are 38,89,152

Denominators are 591,254,556

The GCF of 38,89,152 is 1 .

LCM of 591,254,556 is 41731692.

The greatest common factor of 38/591,89/254,152/556 = [GCF of 38,89,152]/[LCM of 591,254,556]= 1/41731692

Therefore, the GCF of 38/591,89/254,152/556 is 1/41731692.

Greatest Common Factor of 38,89,152

To find the highest common factor of 38,89,152, we have to find the factors of both numbers and list the highest common factor.

The factors of 38 are 1, 2, 19, 38

The factors of 89 are 1, 89

The factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152

The HCF of 38,89,152 is 1.

Lets's calculate GCF of 38,89,152

Greatest Common Factor (GCF) of 38,89,152 By Common Division

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

Greatest Common Factor of 38,89,152 By Matching Biggest Common Factor Method

Now, list down the factors of 38

1,2,19,38

Now, list down the factors of 89

1,89

Now, list down the factors of 152

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 38,89,152 . The biggest common factor number is the GCF number.
So the greatest common factor 38,89,152 is 1.

Lets's calculate LCM of 591,254,556

Lowest Common Multiple of 591,254,556 using Common Division

2	591, 254, 556
	591, 127, 278

∴ So the LCM of the given numbers is 2 x 591 x 127 x 278 = 41731692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41731692

Therefore, the GCF of Fractions 38/591,89/254,152/556 is 1/41731692

Least Common Multiple of 591,254,556 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 591,254,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(591,254,556) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(591,254,556) x common factors =1 x 2 = 2

LCM(591,254,556) = ( 591 × 254 × 556 ) / 2

LCM(591,254,556) = 83463384 / 2

LCM(591,254,556) = 41731692

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 38/591, 89/254, 152/556

1. What is the HCF of 38,89,152?

The HCF of 38,89,152 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 38/591, 89/254, 152/556?

Answer: GCF of Numerators as per given numbers 38/591, 89/254, 152/556 is

GCF of Numerators i.e. for 38,89,152 is 1

LCM of denominators i.e. for 591,254,556 is 41731692.

Thus, GCF of Fractions is 1/41731692.Finally, GCF of Fractions for 38/591, 89/254, 152/556 is 1/41731692.