Greatest Common Factor of 1743/186, 8400/173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1743/186, 8400/173

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 1743/186,8400/173

Given fractions are 1743/186,8400/173

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 1743,8400

Greatest Common Factor of Numerators i.e. GCF of 1743,8400 is 21 .

LCM of Denominators means LCM of 186,173 as per the given fractions.

LCM of 186,173 is 32178 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1743,8400

GCF of Fractions 1743/186,8400/173 is 21/32178

3 1743, 8400
7 581, 2800
83, 400

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 1743,8400 By Matching Biggest Common Factor Method

Greatest Common Factor of 1743,8400 By Matching Biggest Common Factor Method

Factors of 1743

List of positive integer factors of 1743 that divides 1743 without a remainder.

1,3,7,21,83,249,581,1743

Factors of 8400

List of positive integer factors of 8400 that divides 8400 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,25,28,30,35,40,42,48,50,56,60,70,75,80,84,100,105,112,120,140,150,168,175,200,210,240,280,300,336,350,400,420,525,560,600,700,840,1050,1200,1400,1680,2100,2800,4200,8400

Greatest Common Factor

We found the factors 1743,8400 . The biggest common factor number is the GCF number.
So the greatest common factor 1743,8400 is 21.

Lets's calculate LCM of 186,173

Given numbers has no common factors except 1. So, there LCM is their product i.e 32178

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/32178

Therefore, the GCF of Fractions 1743/186,8400/173 is 21/32178

Least Common Multiple of 186,173 with GCF Formula

Least Common Multiple of 186,173 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 186,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(186,173) = 1

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

GCF(186,173) x common factors =1 x 1 = 1

LCM(186,173) = ( 186 × 173 ) / 1

LCM(186,173) = 32178 / 1

LCM(186,173) = 32178


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 1743/186, 8400/173

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 1743/186, 8400/173?

Answer: GCF of Numerators as per given numbers 1743/186, 8400/173 is

GCF of Numerators i.e. for 1743,8400 is 21

LCM of denominators i.e. for 186,173 is 32178.

Thus, GCF of Fractions is 21/32178.Finally, GCF of Fractions for 1743/186, 8400/173 is 21/32178.