GCD of 993, 708, 821, 407 Calculator

Given Input numbers are 993, 708, 821, 407

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

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407

GCD of numbers is the greatest common divisor

So, the GCD (993, 708, 821, 407) = 1.

Given numbers are 993, 708, 821, 407

The list of prime factors of all numbers are

Prime factors of 993 are 3 x 331

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 821 are 821

Prime factors of 407 are 11 x 37

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

Given numbers are 993, 708, 821, 407

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

Apply this formula for all numbers.

Step1:

LCM(993, 708) = 234348

GCD(993, 708) = ( 993 x 708 ) / 234348

= 993 / 708

= 993

Step2:

LCM(3, 821) = 2463

GCD(3, 821) = ( 3 x 821 ) / 2463

= 3 / 821

= 3

Step3:

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

= 1 / 407

= 1

So, Greatest Common Divisor of 993, 708, 821, 407 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 700, 652, 728, 334
• GCD of 376, 225, 610, 390
• GCD of 303, 681, 940, 829
• GCD of 664, 200, 923, 224
• GCD of 425, 985, 268, 257

Given numbers are 993, 708, 821, 407
The greatest common divisor of numbers 993, 708, 821, 407 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 993, 708, 821, 407 is 1.

1. What is the GCD of 993, 708, 821, 407?

GCD of given numbers 993, 708, 821, 407 is 1

2. How to calculate the greatest common divisor of 993, 708, 821, 407?

We can find the highest common divisor of 993, 708, 821, 407 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 993, 708, 821, 407 i.e 1.

3. How can I use the GCD of 993, 708, 821, 407Calculator?

Out the numbers 993, 708, 821, 407 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.