How to Find GCF of 448/487, 608/593?

GCF of 448/487, 608/593

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 448/487, 608/593 i.e 32/288791 easily. The following is the detailed procedure to determine the greatest common factor of fractions 448/487, 608/593.

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 448/487,608/593?

Given fractions are 448/487,608/593

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 448/487,608/593, numerators are 448,608

Denominators are 487,593

The GCF of 448,608 is 32 .

LCM of 487,593 is 288791.

The greatest common factor of 448/487,608/593 = [GCF of 448,608]/[LCM of 487,593]= 32/288791

Therefore, the GCF of 448/487,608/593 is 32/288791.

Greatest Common Factor of 448,608

To find the highest common factor of 448,608, we have to find the factors of both numbers and list the highest common factor.

The factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

The factors of 608 are 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

The HCF of 448,608 is 32.

Lets's calculate GCF of 448,608

Greatest Common Factor (GCF) of 448,608 By Common Division

2	448, 608
2	224, 304
2	112, 152
2	56, 76
2	28, 38
	14, 19

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Greatest Common Factor of 448,608 By Matching Biggest Common Factor Method

Now, list down the factors of 448

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Now, list down the factors of 608

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors 448,608 . The biggest common factor number is the GCF number.
So the greatest common factor 448,608 is 32.

Lets's calculate LCM of 487,593

Lowest Common Multiple of 487,593 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 288791

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/288791

Therefore, the GCF of Fractions 448/487,608/593 is 32/288791

Least Common Multiple of 487,593 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 487,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(487,593) = 1

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

GCF(487,593) x common factors =1 x 1 = 1

LCM(487,593) = ( 487 × 593 ) / 1

LCM(487,593) = 288791 / 1

LCM(487,593) = 288791

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FAQs on GCF of Fractions of 448/487, 608/593

1. What is the HCF of 448,608?

The HCF of 448,608 is 32

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 448/487, 608/593?

Answer: GCF of Numerators as per given numbers 448/487, 608/593 is

GCF of Numerators i.e. for 448,608 is 32

LCM of denominators i.e. for 487,593 is 288791.

Thus, GCF of Fractions is 32/288791.Finally, GCF of Fractions for 448/487, 608/593 is 32/288791.