Greatest Common Factor of 886/22, 3214/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 886/22, 3214/743

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 886/22,3214/743

Given fractions are 886/22,3214/743

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 886,3214

Greatest Common Factor of Numerators i.e. GCF of 886,3214 is 2 .

LCM of Denominators means LCM of 22,743 as per the given fractions.

LCM of 22,743 is 16346 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 886,3214

GCF of Fractions 886/22,3214/743 is 2/16346

2 886, 3214
443, 1607

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 886,3214 By Matching Biggest Common Factor Method

Greatest Common Factor of 886,3214 By Matching Biggest Common Factor Method

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Factors of 3214

List of positive integer factors of 3214 that divides 3214 without a remainder.

1,2,1607,3214

Greatest Common Factor

We found the factors 886,3214 . The biggest common factor number is the GCF number.
So the greatest common factor 886,3214 is 2.

Lets's calculate LCM of 22,743

Given numbers has no common factors except 1. So, there LCM is their product i.e 16346

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16346

Therefore, the GCF of Fractions 886/22,3214/743 is 2/16346

Least Common Multiple of 22,743 with GCF Formula

Least Common Multiple of 22,743 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 22,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,743) = 1

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

GCF(22,743) x common factors =1 x 1 = 1

LCM(22,743) = ( 22 × 743 ) / 1

LCM(22,743) = 16346 / 1

LCM(22,743) = 16346


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 886/22, 3214/743

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 886/22, 3214/743?

Answer: GCF of Numerators as per given numbers 886/22, 3214/743 is

GCF of Numerators i.e. for 886,3214 is 2

LCM of denominators i.e. for 22,743 is 16346.

Thus, GCF of Fractions is 2/16346.Finally, GCF of Fractions for 886/22, 3214/743 is 2/16346.