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GCF of 807/784, 794/256

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 807/784, 794/256 i.e 1/12544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 807/784, 794/256.

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 807/784,794/256?

Given fractions are 807/784,794/256

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 807/784,794/256, numerators are 807,794

Denominators are 784,256

The GCF of 807,794 is 1 .

LCM of 784,256 is 12544.

The greatest common factor of 807/784,794/256 = [GCF of 807,794]/[LCM of 784,256]= 1/12544

Therefore, the GCF of 807/784,794/256 is 1/12544.

Greatest Common Factor of 807,794

To find the highest common factor of 807,794, we have to find the factors of both numbers and list the highest common factor.

The factors of 807 are 1, 3, 269, 807

The factors of 794 are 1, 2, 397, 794

The HCF of 807,794 is 1.

Lets's calculate GCF of 807,794

Greatest Common Factor (GCF) of 807,794 By Common Division

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

Greatest Common Factor of 807,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 807,794 By Matching Biggest Common Factor Method

Now, list down the factors of 807

:

1,3,269,807

Now, list down the factors of 794

:

1,2,397,794

Greatest Common Factor

We found the factors 807,794 . The biggest common factor number is the GCF number.
So the greatest common factor 807,794 is 1.

Lets's calculate LCM of 784,256

Lowest Common Multiple of 784,256 using Common Division

2 784, 256
2 392, 128
2 196, 64
2 98, 32
49, 16

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 49 x 16 = 12544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12544

Therefore, the GCF of Fractions 807/784,794/256 is 1/12544

Least Common Multiple of 784,256 with GCF Formula

Least Common Multiple of 784,256 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 784,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,256) = 16

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

GCF(784,256) x common factors =16 x 1 = 16

LCM(784,256) = ( 784 × 256 ) / 16

LCM(784,256) = 200704 / 16

LCM(784,256) = 12544


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FAQs on GCF of Fractions of 807/784, 794/256

1. What is the HCF of 807,794?

The HCF of 807,794 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 807/784, 794/256?

Answer: GCF of Numerators as per given numbers 807/784, 794/256 is

GCF of Numerators i.e. for 807,794 is 1

LCM of denominators i.e. for 784,256 is 12544.

Thus, GCF of Fractions is 1/12544.Finally, GCF of Fractions for 807/784, 794/256 is 1/12544.