How to Find GCF of 9082/388, 5773/144?

GCF of 9082/388, 5773/144

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 9082/388, 5773/144 i.e 1/13968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9082/388, 5773/144.

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 9082/388,5773/144?

Given fractions are 9082/388,5773/144

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 9082/388,5773/144, numerators are 9082,5773

Denominators are 388,144

The GCF of 9082,5773 is 1 .

LCM of 388,144 is 13968.

The greatest common factor of 9082/388,5773/144 = [GCF of 9082,5773]/[LCM of 388,144]= 1/13968

Therefore, the GCF of 9082/388,5773/144 is 1/13968.

Greatest Common Factor of 9082,5773

To find the highest common factor of 9082,5773, we have to find the factors of both numbers and list the highest common factor.

The factors of 9082 are 1, 2, 19, 38, 239, 478, 4541, 9082

The factors of 5773 are 1, 23, 251, 5773

The HCF of 9082,5773 is 1.

Lets's calculate GCF of 9082,5773

Greatest Common Factor (GCF) of 9082,5773 By Common Division

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

Greatest Common Factor of 9082,5773 By Matching Biggest Common Factor Method

Now, list down the factors of 9082

1,2,19,38,239,478,4541,9082

Now, list down the factors of 5773

1,23,251,5773

Greatest Common Factor

We found the factors 9082,5773 . The biggest common factor number is the GCF number.
So the greatest common factor 9082,5773 is 1.

Lets's calculate LCM of 388,144

Lowest Common Multiple of 388,144 using Common Division

2	388, 144
2	194, 72
	97, 36

∴ So the LCM of the given numbers is 2 x 2 x 97 x 36 = 13968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13968

Therefore, the GCF of Fractions 9082/388,5773/144 is 1/13968

Least Common Multiple of 388,144 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 388,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,144) = 4

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

GCF(388,144) x common factors =4 x 1 = 4

LCM(388,144) = ( 388 × 144 ) / 4

LCM(388,144) = 55872 / 4

LCM(388,144) = 13968

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FAQs on GCF of Fractions of 9082/388, 5773/144

1. What is the HCF of 9082,5773?

The HCF of 9082,5773 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 9082/388, 5773/144?

Answer: GCF of Numerators as per given numbers 9082/388, 5773/144 is

GCF of Numerators i.e. for 9082,5773 is 1

LCM of denominators i.e. for 388,144 is 13968.

Thus, GCF of Fractions is 1/13968.Finally, GCF of Fractions for 9082/388, 5773/144 is 1/13968.