GCD of 87, 143, 746, 213 Calculator

Given Input numbers are 87, 143, 746, 213

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

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 87, 143, 746, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 143, 746, 213 is 1.

Therefore, GCD of numbers 87, 143, 746, 213 is 1

Given Input Data is 87, 143, 746, 213

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 143 is 11 x 13

Prime Factorization of 746 is 2 x 373

Prime Factorization of 213 is 3 x 71

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(87, 143) = 12441

GCD(87, 143) = ( 87 x 143 ) / 12441

GCD(87, 143) = 12441 / 12441

GCD(87, 143) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 746

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

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

GCD(1, 746) = 746 / 746

GCD(1, 746) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

GCD of 87, 143, 746, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 424, 982, 902
• GCD of 74, 562, 255, 879
• GCD of 80, 581, 763, 225
• GCD of 74, 572, 879, 890
• GCD of 71, 555, 895, 303

1. What is the GCD of 87, 143, 746, 213?

GCD of 87, 143, 746, 213 is 1

2. Where do I get the detailed procedure to find GCD of 87, 143, 746, 213?

You can find a detailed procedure to find GCD of 87, 143, 746, 213 on our page.

3. How to find GCD of 87, 143, 746, 213 on a calculator?

You can find the GCD of 87, 143, 746, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.