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GCF of 593/222, 256/480

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 593/222, 256/480 i.e 1/17760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 593/222, 256/480.

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 593/222,256/480?

Given fractions are 593/222,256/480

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 593/222,256/480, numerators are 593,256

Denominators are 222,480

The GCF of 593,256 is 1 .

LCM of 222,480 is 17760.

The greatest common factor of 593/222,256/480 = [GCF of 593,256]/[LCM of 222,480]= 1/17760

Therefore, the GCF of 593/222,256/480 is 1/17760.

Greatest Common Factor of 593,256

To find the highest common factor of 593,256, we have to find the factors of both numbers and list the highest common factor.

The factors of 593 are 1, 593

The factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, 256

The HCF of 593,256 is 1.

Lets's calculate GCF of 593,256

Greatest Common Factor (GCF) of 593,256 By Common Division

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

Greatest Common Factor of 593,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 593,256 By Matching Biggest Common Factor Method

Now, list down the factors of 593

:

1,593

Now, list down the factors of 256

:

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 593,256 . The biggest common factor number is the GCF number.
So the greatest common factor 593,256 is 1.

Lets's calculate LCM of 222,480

Lowest Common Multiple of 222,480 using Common Division

2 222, 480
3 111, 240
37, 80

∴ So the LCM of the given numbers is 2 x 3 x 37 x 80 = 17760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17760

Therefore, the GCF of Fractions 593/222,256/480 is 1/17760

Least Common Multiple of 222,480 with GCF Formula

Least Common Multiple of 222,480 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 222,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,480) = 6

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

GCF(222,480) x common factors =6 x 1 = 6

LCM(222,480) = ( 222 × 480 ) / 6

LCM(222,480) = 106560 / 6

LCM(222,480) = 17760


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FAQs on GCF of Fractions of 593/222, 256/480

1. What is the HCF of 593,256?

The HCF of 593,256 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 593/222, 256/480?

Answer: GCF of Numerators as per given numbers 593/222, 256/480 is

GCF of Numerators i.e. for 593,256 is 1

LCM of denominators i.e. for 222,480 is 17760.

Thus, GCF of Fractions is 1/17760.Finally, GCF of Fractions for 593/222, 256/480 is 1/17760.