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GCF of 660/60, 259/256

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 660/60, 259/256 i.e 1/3840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 660/60, 259/256.

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 660/60,259/256?

Given fractions are 660/60,259/256

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 660/60,259/256, numerators are 660,259

Denominators are 60,256

The GCF of 660,259 is 1 .

LCM of 60,256 is 3840.

The greatest common factor of 660/60,259/256 = [GCF of 660,259]/[LCM of 60,256]= 1/3840

Therefore, the GCF of 660/60,259/256 is 1/3840.

Greatest Common Factor of 660,259

To find the highest common factor of 660,259, we have to find the factors of both numbers and list the highest common factor.

The factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

The factors of 259 are 1, 7, 37, 259

The HCF of 660,259 is 1.

Lets's calculate GCF of 660,259

Greatest Common Factor (GCF) of 660,259 By Common Division

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

Greatest Common Factor of 660,259 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,259 By Matching Biggest Common Factor Method

Now, list down the factors of 660

:

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Now, list down the factors of 259

:

1,7,37,259

Greatest Common Factor

We found the factors 660,259 . The biggest common factor number is the GCF number.
So the greatest common factor 660,259 is 1.

Lets's calculate LCM of 60,256

Lowest Common Multiple of 60,256 using Common Division

2 60, 256
2 30, 128
15, 64

∴ So the LCM of the given numbers is 2 x 2 x 15 x 64 = 3840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3840

Therefore, the GCF of Fractions 660/60,259/256 is 1/3840

Least Common Multiple of 60,256 with GCF Formula

Least Common Multiple of 60,256 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 60,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,256) = 4

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

GCF(60,256) x common factors =4 x 1 = 4

LCM(60,256) = ( 60 × 256 ) / 4

LCM(60,256) = 15360 / 4

LCM(60,256) = 3840


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FAQs on GCF of Fractions of 660/60, 259/256

1. What is the HCF of 660,259?

The HCF of 660,259 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 660/60, 259/256?

Answer: GCF of Numerators as per given numbers 660/60, 259/256 is

GCF of Numerators i.e. for 660,259 is 1

LCM of denominators i.e. for 60,256 is 3840.

Thus, GCF of Fractions is 1/3840.Finally, GCF of Fractions for 660/60, 259/256 is 1/3840.