GCD of 993, 721, 972, 514 Calculator

Given Input numbers are 993, 721, 972, 514

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 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

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 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

GCD of numbers is the greatest common divisor

So, the GCD (993, 721, 972, 514) = 1.

Given numbers are 993, 721, 972, 514

The list of prime factors of all numbers are

Prime factors of 993 are 3 x 331

Prime factors of 721 are 7 x 103

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

Prime factors of 514 are 2 x 257

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

Given numbers are 993, 721, 972, 514

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

Apply this formula for all numbers.

Step1:

LCM(993, 721) = 715953

GCD(993, 721) = ( 993 x 721 ) / 715953

= 993 / 721

= 993

Step2:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

Step3:

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

= 1 / 514

= 1

So, Greatest Common Divisor of 993, 721, 972, 514 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 852, 589, 516, 876
• GCD of 609, 647, 671, 981
• GCD of 402, 738, 243, 495
• GCD of 566, 410, 863, 427
• GCD of 462, 492, 121, 473

Given numbers are 993, 721, 972, 514
The greatest common divisor of numbers 993, 721, 972, 514 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 993, 721, 972, 514 is 1.

1. What is the GCD of 993, 721, 972, 514?

GCD of given numbers 993, 721, 972, 514 is 1

2. How to calculate the greatest common divisor of 993, 721, 972, 514?

We can find the highest common divisor of 993, 721, 972, 514 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, 721, 972, 514 i.e 1.

3. How can I use the GCD of 993, 721, 972, 514Calculator?

Out the numbers 993, 721, 972, 514 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.