GCD of 513, 867, 972, 296 Calculator

Given Input numbers are 513, 867, 972, 296

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

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

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 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

GCD of numbers is the greatest common divisor

So, the GCD (513, 867, 972, 296) = 1.

Given numbers are 513, 867, 972, 296

The list of prime factors of all numbers are

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 867 are 3 x 17 x 17

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

Prime factors of 296 are 2 x 2 x 2 x 37

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

Given numbers are 513, 867, 972, 296

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

Apply this formula for all numbers.

Step1:

LCM(513, 867) = 148257

GCD(513, 867) = ( 513 x 867 ) / 148257

= 513 / 867

= 513

Step2:

LCM(3, 972) = 972

GCD(3, 972) = ( 3 x 972 ) / 972

= 3 / 972

= 3

Step3:

LCM(3, 296) = 888

GCD(3, 296) = ( 3 x 296 ) / 888

= 3 / 296

= 3

So, Greatest Common Divisor of 513, 867, 972, 296 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 794, 941, 934, 159
• GCD of 695, 940, 495, 188
• GCD of 297, 635, 858, 557
• GCD of 835, 608, 581, 338
• GCD of 402, 497, 423, 182

Given numbers are 513, 867, 972, 296
The greatest common divisor of numbers 513, 867, 972, 296 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 867, 972, 296 is 1.

1. What is the GCD of 513, 867, 972, 296?

GCD of given numbers 513, 867, 972, 296 is 1

2. How to calculate the greatest common divisor of 513, 867, 972, 296?

We can find the highest common divisor of 513, 867, 972, 296 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 513, 867, 972, 296 i.e 1.

3. How can I use the GCD of 513, 867, 972, 296Calculator?

Out the numbers 513, 867, 972, 296 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.