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GCF of 597/384, 463/180

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 597/384, 463/180 i.e 1/5760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 597/384, 463/180.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 597/384,463/180?

Given fractions are 597/384,463/180

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 597/384,463/180, numerators are 597,463

Denominators are 384,180

The GCF of 597,463 is 1 .

LCM of 384,180 is 5760.

The greatest common factor of 597/384,463/180 = [GCF of 597,463]/[LCM of 384,180]= 1/5760

Therefore, the GCF of 597/384,463/180 is 1/5760.

Greatest Common Factor of 597,463

To find the highest common factor of 597,463, we have to find the factors of both numbers and list the highest common factor.

The factors of 597 are 1, 3, 199, 597

The factors of 463 are 1, 463

The HCF of 597,463 is 1.

Lets's calculate GCF of 597,463

Greatest Common Factor (GCF) of 597,463 By Common Division

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

Greatest Common Factor of 597,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 597,463 By Matching Biggest Common Factor Method

Now, list down the factors of 597

:

1,3,199,597

Now, list down the factors of 463

:

1,463

Greatest Common Factor

We found the factors 597,463 . The biggest common factor number is the GCF number.
So the greatest common factor 597,463 is 1.

Lets's calculate LCM of 384,180

Lowest Common Multiple of 384,180 using Common Division

2 384, 180
2 192, 90
3 96, 45
32, 15

∴ So the LCM of the given numbers is 2 x 2 x 3 x 32 x 15 = 5760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5760

Therefore, the GCF of Fractions 597/384,463/180 is 1/5760

Least Common Multiple of 384,180 with GCF Formula

Least Common Multiple of 384,180 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 384,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,180) = 12

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

GCF(384,180) x common factors =12 x 1 = 12

LCM(384,180) = ( 384 × 180 ) / 12

LCM(384,180) = 69120 / 12

LCM(384,180) = 5760


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FAQs on GCF of Fractions of 597/384, 463/180

1. What is the HCF of 597,463?

The HCF of 597,463 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 597/384, 463/180?

Answer: GCF of Numerators as per given numbers 597/384, 463/180 is

GCF of Numerators i.e. for 597,463 is 1

LCM of denominators i.e. for 384,180 is 5760.

Thus, GCF of Fractions is 1/5760.Finally, GCF of Fractions for 597/384, 463/180 is 1/5760.