Greatest Common Factor of 692/15, 200/73, 886/22

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 692/15, 200/73, 886/22

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 692/15,200/73,886/22

Given fractions are 692/15,200/73,886/22

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 692,200,886

Greatest Common Factor of Numerators i.e. GCF of 692,200,886 is 2 .

LCM of Denominators means LCM of 15,73,22 as per the given fractions.

LCM of 15,73,22 is 24090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 692,200,886

GCF of Fractions 692/15,200/73,886/22 is 2/24090

2 692, 200, 886
346, 100, 443

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

Greatest Common Factor of 692,200,886 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,200,886 By Matching Biggest Common Factor Method

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 886

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

1,2,443,886

Greatest Common Factor

We found the factors 692,200,886 . The biggest common factor number is the GCF number.
So the greatest common factor 692,200,886 is 2.

Lets's calculate LCM of 15,73,22

Given numbers has no common factors except 1. So, there LCM is their product i.e 24090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24090

Therefore, the GCF of Fractions 692/15,200/73,886/22 is 2/24090

Least Common Multiple of 15,73,22 with GCF Formula

Least Common Multiple of 15,73,22 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 15,73,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,73,22) = 1

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

GCF(15,73,22) x common factors =1 x 1 = 1

LCM(15,73,22) = ( 15 × 73 × 22 ) / 1

LCM(15,73,22) = 24090 / 1

LCM(15,73,22) = 24090


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 692/15, 200/73, 886/22

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 692/15, 200/73, 886/22?

Answer: GCF of Numerators as per given numbers 692/15, 200/73, 886/22 is

GCF of Numerators i.e. for 692,200,886 is 2

LCM of denominators i.e. for 15,73,22 is 24090.

Thus, GCF of Fractions is 2/24090.Finally, GCF of Fractions for 692/15, 200/73, 886/22 is 2/24090.