Greatest Common Factor of 6463/419, 8990/963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 6463/419, 8990/963

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 6463/419,8990/963

Given fractions are 6463/419,8990/963

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 6463,8990

Greatest Common Factor of Numerators i.e. GCF of 6463,8990 is 1 .

LCM of Denominators means LCM of 419,963 as per the given fractions.

LCM of 419,963 is 403497 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6463,8990

GCF of Fractions 6463/419,8990/963 is 1/403497

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

Greatest Common Factor of 6463,8990 By Matching Biggest Common Factor Method

Greatest Common Factor of 6463,8990 By Matching Biggest Common Factor Method

Factors of 6463

List of positive integer factors of 6463 that divides 6463 without a remainder.

1,23,281,6463

Factors of 8990

List of positive integer factors of 8990 that divides 8990 without a remainder.

1,2,5,10,29,31,58,62,145,155,290,310,899,1798,4495,8990

Greatest Common Factor

We found the factors 6463,8990 . The biggest common factor number is the GCF number.
So the greatest common factor 6463,8990 is 1.


Lets's calculate LCM of 419,963

Given numbers has no common factors except 1. So, there LCM is their product i.e 403497

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/403497

Therefore, the GCF of Fractions 6463/419,8990/963 is 1/403497

Least Common Multiple of 419,963 with GCF Formula

Least Common Multiple of 419,963 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 419,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(419,963) = 1

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

GCF(419,963) x common factors =1 x 1 = 1

LCM(419,963) = ( 419 × 963 ) / 1

LCM(419,963) = 403497 / 1

LCM(419,963) = 403497


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 6463/419, 8990/963

1. 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.

2. What is the GCF of Fractions for 6463/419, 8990/963?

Answer: GCF of Numerators as per given numbers 6463/419, 8990/963 is

GCF of Numerators i.e. for 6463,8990 is 1

LCM of denominators i.e. for 419,963 is 403497.

Thus, GCF of Fractions is 1/403497.Finally, GCF of Fractions for 6463/419, 8990/963 is 1/403497.