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GCF of 805/827, 1063/317

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 805/827, 1063/317 i.e 1/262159 easily. The following is the detailed procedure to determine the greatest common factor of fractions 805/827, 1063/317.

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 805/827,1063/317?

Given fractions are 805/827,1063/317

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 805/827,1063/317, numerators are 805,1063

Denominators are 827,317

The GCF of 805,1063 is 1 .

LCM of 827,317 is 262159.

The greatest common factor of 805/827,1063/317 = [GCF of 805,1063]/[LCM of 827,317]= 1/262159

Therefore, the GCF of 805/827,1063/317 is 1/262159.

Greatest Common Factor of 805,1063

To find the highest common factor of 805,1063, we have to find the factors of both numbers and list the highest common factor.

The factors of 805 are 1, 5, 7, 23, 35, 115, 161, 805

The factors of 1063 are 1, 1063

The HCF of 805,1063 is 1.

Lets's calculate GCF of 805,1063

Greatest Common Factor (GCF) of 805,1063 By Common Division

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

Greatest Common Factor of 805,1063 By Matching Biggest Common Factor Method

Greatest Common Factor of 805,1063 By Matching Biggest Common Factor Method

Now, list down the factors of 805

:

1,5,7,23,35,115,161,805

Now, list down the factors of 1063

:

1,1063

Greatest Common Factor

We found the factors 805,1063 . The biggest common factor number is the GCF number.
So the greatest common factor 805,1063 is 1.

Lets's calculate LCM of 827,317

Lowest Common Multiple of 827,317 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 262159

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/262159

Therefore, the GCF of Fractions 805/827,1063/317 is 1/262159

Least Common Multiple of 827,317 with GCF Formula

Least Common Multiple of 827,317 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 827,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,317) = 1

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

GCF(827,317) x common factors =1 x 1 = 1

LCM(827,317) = ( 827 × 317 ) / 1

LCM(827,317) = 262159 / 1

LCM(827,317) = 262159


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FAQs on GCF of Fractions of 805/827, 1063/317

1. What is the HCF of 805,1063?

The HCF of 805,1063 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 805/827, 1063/317?

Answer: GCF of Numerators as per given numbers 805/827, 1063/317 is

GCF of Numerators i.e. for 805,1063 is 1

LCM of denominators i.e. for 827,317 is 262159.

Thus, GCF of Fractions is 1/262159.Finally, GCF of Fractions for 805/827, 1063/317 is 1/262159.