GCD of 972, 993, 758, 516 Calculator

Given Input numbers are 972, 993, 758, 516

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

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 993 :

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

1, 3, 331, 993

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

GCD of numbers is the greatest common divisor

So, the GCD (972, 993, 758, 516) = 1.

Given numbers are 972, 993, 758, 516

The list of prime factors of all numbers are

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 993 are 3 x 331

Prime factors of 758 are 2 x 379

Prime factors of 516 are 2 x 2 x 3 x 43

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

Given numbers are 972, 993, 758, 516

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

Apply this formula for all numbers.

Step1:

LCM(972, 993) = 321732

GCD(972, 993) = ( 972 x 993 ) / 321732

= 972 / 993

= 972

Step2:

LCM(3, 758) = 2274

GCD(3, 758) = ( 3 x 758 ) / 2274

= 3 / 758

= 3

Step3:

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

= 1 / 516

= 1

So, Greatest Common Divisor of 972, 993, 758, 516 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 959, 549, 520, 463
• GCD of 365, 361, 917, 182
• GCD of 511, 149, 555, 329
• GCD of 192, 941, 597, 357
• GCD of 214, 815, 317, 163

Given numbers are 972, 993, 758, 516
The greatest common divisor of numbers 972, 993, 758, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 993, 758, 516 is 1.

1. What is the GCD of 972, 993, 758, 516?

GCD of given numbers 972, 993, 758, 516 is 1

2. How to calculate the greatest common divisor of 972, 993, 758, 516?

We can find the highest common divisor of 972, 993, 758, 516 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 972, 993, 758, 516 i.e 1.

3. How can I use the GCD of 972, 993, 758, 516Calculator?

Out the numbers 972, 993, 758, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.