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GCF of 256/313, 412/844

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 256/313, 412/844 i.e 4/264172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 256/313, 412/844.

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 256/313,412/844?

Given fractions are 256/313,412/844

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 256/313,412/844, numerators are 256,412

Denominators are 313,844

The GCF of 256,412 is 4 .

LCM of 313,844 is 264172.

The greatest common factor of 256/313,412/844 = [GCF of 256,412]/[LCM of 313,844]= 4/264172

Therefore, the GCF of 256/313,412/844 is 4/264172.

Greatest Common Factor of 256,412

To find the highest common factor of 256,412, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 412 are 1, 2, 4, 103, 206, 412

The HCF of 256,412 is 4.

Lets's calculate GCF of 256,412

Greatest Common Factor (GCF) of 256,412 By Common Division

2 256, 412
2 128, 206
64, 103

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 256,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 256,412 By Matching Biggest Common Factor Method

Now, list down the factors of 256

:

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

Now, list down the factors of 412

:

1,2,4,103,206,412

Greatest Common Factor

We found the factors 256,412 . The biggest common factor number is the GCF number.
So the greatest common factor 256,412 is 4.

Lets's calculate LCM of 313,844

Lowest Common Multiple of 313,844 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 264172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/264172

Therefore, the GCF of Fractions 256/313,412/844 is 4/264172

Least Common Multiple of 313,844 with GCF Formula

Least Common Multiple of 313,844 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 313,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(313,844) = 1

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

GCF(313,844) x common factors =1 x 1 = 1

LCM(313,844) = ( 313 × 844 ) / 1

LCM(313,844) = 264172 / 1

LCM(313,844) = 264172


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FAQs on GCF of Fractions of 256/313, 412/844

1. What is the HCF of 256,412?

The HCF of 256,412 is 4

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 256/313, 412/844?

Answer: GCF of Numerators as per given numbers 256/313, 412/844 is

GCF of Numerators i.e. for 256,412 is 4

LCM of denominators i.e. for 313,844 is 264172.

Thus, GCF of Fractions is 4/264172.Finally, GCF of Fractions for 256/313, 412/844 is 4/264172.