Greatest Common Factor of 3019/671, 8463/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3019/671, 8463/256

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 3019/671,8463/256

Given fractions are 3019/671,8463/256

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 3019,8463

Greatest Common Factor of Numerators i.e. GCF of 3019,8463 is 1 .

LCM of Denominators means LCM of 671,256 as per the given fractions.

LCM of 671,256 is 171776 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3019,8463

GCF of Fractions 3019/671,8463/256 is 1/171776

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

Greatest Common Factor of 3019,8463 By Matching Biggest Common Factor Method

Greatest Common Factor of 3019,8463 By Matching Biggest Common Factor Method

Factors of 3019

List of positive integer factors of 3019 that divides 3019 without a remainder.

1,3019

Factors of 8463

List of positive integer factors of 8463 that divides 8463 without a remainder.

1,3,7,13,21,31,39,91,93,217,273,403,651,1209,2821,8463

Greatest Common Factor

We found the factors 3019,8463 . The biggest common factor number is the GCF number.
So the greatest common factor 3019,8463 is 1.

Lets's calculate LCM of 671,256

Given numbers has no common factors except 1. So, there LCM is their product i.e 171776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/171776

Therefore, the GCF of Fractions 3019/671,8463/256 is 1/171776

Least Common Multiple of 671,256 with GCF Formula

Least Common Multiple of 671,256 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 671,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(671,256) = 1

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

GCF(671,256) x common factors =1 x 1 = 1

LCM(671,256) = ( 671 × 256 ) / 1

LCM(671,256) = 171776 / 1

LCM(671,256) = 171776


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3019/671, 8463/256

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 3019/671, 8463/256?

Answer: GCF of Numerators as per given numbers 3019/671, 8463/256 is

GCF of Numerators i.e. for 3019,8463 is 1

LCM of denominators i.e. for 671,256 is 171776.

Thus, GCF of Fractions is 1/171776.Finally, GCF of Fractions for 3019/671, 8463/256 is 1/171776.