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GCF of 650/322, 863/773

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 650/322, 863/773 i.e 1/248906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 650/322, 863/773.

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 650/322,863/773?

Given fractions are 650/322,863/773

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 650/322,863/773, numerators are 650,863

Denominators are 322,773

The GCF of 650,863 is 1 .

LCM of 322,773 is 248906.

The greatest common factor of 650/322,863/773 = [GCF of 650,863]/[LCM of 322,773]= 1/248906

Therefore, the GCF of 650/322,863/773 is 1/248906.

Greatest Common Factor of 650,863

To find the highest common factor of 650,863, we have to find the factors of both numbers and list the highest common factor.

The factors of 650 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

The factors of 863 are 1, 863

The HCF of 650,863 is 1.

Lets's calculate GCF of 650,863

Greatest Common Factor (GCF) of 650,863 By Common Division

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

Greatest Common Factor of 650,863 By Matching Biggest Common Factor Method

Greatest Common Factor of 650,863 By Matching Biggest Common Factor Method

Now, list down the factors of 650

:

1,2,5,10,13,25,26,50,65,130,325,650

Now, list down the factors of 863

:

1,863

Greatest Common Factor

We found the factors 650,863 . The biggest common factor number is the GCF number.
So the greatest common factor 650,863 is 1.

Lets's calculate LCM of 322,773

Lowest Common Multiple of 322,773 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 248906

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/248906

Therefore, the GCF of Fractions 650/322,863/773 is 1/248906

Least Common Multiple of 322,773 with GCF Formula

Least Common Multiple of 322,773 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 322,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(322,773) = 1

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

GCF(322,773) x common factors =1 x 1 = 1

LCM(322,773) = ( 322 × 773 ) / 1

LCM(322,773) = 248906 / 1

LCM(322,773) = 248906


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FAQs on GCF of Fractions of 650/322, 863/773

1. What is the HCF of 650,863?

The HCF of 650,863 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 650/322, 863/773?

Answer: GCF of Numerators as per given numbers 650/322, 863/773 is

GCF of Numerators i.e. for 650,863 is 1

LCM of denominators i.e. for 322,773 is 248906.

Thus, GCF of Fractions is 1/248906.Finally, GCF of Fractions for 650/322, 863/773 is 1/248906.