GCD of 987, 212, 723, 475 Calculator

Given Input numbers are 987, 212, 723, 475

In the factoring method, we have to find the divisors of all numbers

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 475 :

The positive integer divisors of 475 that completely divides 475 are.

1, 5, 19, 25, 95, 475

GCD of numbers is the greatest common divisor

So, the GCD (987, 212, 723, 475) = 1.

Given numbers are 987, 212, 723, 475

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 212 are 2 x 2 x 53

Prime factors of 723 are 3 x 241

Prime factors of 475 are 5 x 5 x 19

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

Given numbers are 987, 212, 723, 475

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(987, 212) = 209244

GCD(987, 212) = ( 987 x 212 ) / 209244

= 987 / 212

= 987

Step2:

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

= 1 / 723

= 1

Step3:

LCM(1, 475) = 475

GCD(1, 475) = ( 1 x 475 ) / 475

= 1 / 475

= 1

So, Greatest Common Divisor of 987, 212, 723, 475 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 934, 514, 668, 219
• GCD of 225, 292, 783, 436
• GCD of 212, 293, 935, 772
• GCD of 566, 866, 746, 242
• GCD of 551, 150, 356, 984

Given numbers are 987, 212, 723, 475
The greatest common divisor of numbers 987, 212, 723, 475 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 212, 723, 475 is 1.

1. What is the GCD of 987, 212, 723, 475?

GCD of given numbers 987, 212, 723, 475 is 1

2. How to calculate the greatest common divisor of 987, 212, 723, 475?

We can find the highest common divisor of 987, 212, 723, 475 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 987, 212, 723, 475 i.e 1.

3. How can I use the GCD of 987, 212, 723, 475Calculator?

Out the numbers 987, 212, 723, 475 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.