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GCF of 511/269, 256/422

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 511/269, 256/422 i.e 1/113518 easily. The following is the detailed procedure to determine the greatest common factor of fractions 511/269, 256/422.

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 511/269,256/422?

Given fractions are 511/269,256/422

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 511/269,256/422, numerators are 511,256

Denominators are 269,422

The GCF of 511,256 is 1 .

LCM of 269,422 is 113518.

The greatest common factor of 511/269,256/422 = [GCF of 511,256]/[LCM of 269,422]= 1/113518

Therefore, the GCF of 511/269,256/422 is 1/113518.

Greatest Common Factor of 511,256

To find the highest common factor of 511,256, we have to find the factors of both numbers and list the highest common factor.

The factors of 511 are 1, 7, 73, 511

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

The HCF of 511,256 is 1.

Lets's calculate GCF of 511,256

Greatest Common Factor (GCF) of 511,256 By Common Division

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

Greatest Common Factor of 511,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 511,256 By Matching Biggest Common Factor Method

Now, list down the factors of 511

:

1,7,73,511

Now, list down the factors of 256

:

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

Greatest Common Factor

We found the factors 511,256 . The biggest common factor number is the GCF number.
So the greatest common factor 511,256 is 1.

Lets's calculate LCM of 269,422

Lowest Common Multiple of 269,422 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 113518

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113518

Therefore, the GCF of Fractions 511/269,256/422 is 1/113518

Least Common Multiple of 269,422 with GCF Formula

Least Common Multiple of 269,422 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 269,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(269,422) = 1

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

GCF(269,422) x common factors =1 x 1 = 1

LCM(269,422) = ( 269 × 422 ) / 1

LCM(269,422) = 113518 / 1

LCM(269,422) = 113518


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FAQs on GCF of Fractions of 511/269, 256/422

1. What is the HCF of 511,256?

The HCF of 511,256 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 511/269, 256/422?

Answer: GCF of Numerators as per given numbers 511/269, 256/422 is

GCF of Numerators i.e. for 511,256 is 1

LCM of denominators i.e. for 269,422 is 113518.

Thus, GCF of Fractions is 1/113518.Finally, GCF of Fractions for 511/269, 256/422 is 1/113518.