GCD of 860, 186, 153, 747 Calculator

Given Input numbers are 860, 186, 153, 747

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 860, 186, 153, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 860, 186, 153, 747 is 1.

Therefore, GCD of numbers 860, 186, 153, 747 is 1

Given Input Data is 860, 186, 153, 747

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 747 is 3 x 3 x 83

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(860, 186) = 79980

GCD(860, 186) = ( 860 x 186 ) / 79980

GCD(860, 186) = 159960 / 79980

GCD(860, 186) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 153

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 153) = 306

GCD(2, 153) = ( 2 x 153 ) / 306

GCD(2, 153) = 306 / 306

GCD(2, 153) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 747

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

GCD(1, 747) = 747 / 747

GCD(1, 747) = 1

GCD of 860, 186, 153, 747 is 1

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1. What is the GCD of 860, 186, 153, 747?

GCD of 860, 186, 153, 747 is 1

2. Where do I get the detailed procedure to find GCD of 860, 186, 153, 747?

You can find a detailed procedure to find GCD of 860, 186, 153, 747 on our page.

3. How to find GCD of 860, 186, 153, 747 on a calculator?

You can find the GCD of 860, 186, 153, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.