GCD of 972, 699, 258, 732 Calculator

Given Input numbers are 972, 699, 258, 732

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 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

GCD of numbers is the greatest common divisor

So, the GCD (972, 699, 258, 732) = 3.

Given numbers are 972, 699, 258, 732

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 699 are 3 x 233

Prime factors of 258 are 2 x 3 x 43

Prime factors of 732 are 2 x 2 x 3 x 61

The highest common occurrence is 3¹

Therefore, GCD of 972, 699, 258, 732 is 3.

Given numbers are 972, 699, 258, 732

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

Apply this formula for all numbers.

Step1:

LCM(972, 699) = 226476

GCD(972, 699) = ( 972 x 699 ) / 226476

= 972 / 699

= 972

Step2:

LCM(3, 258) = 258

GCD(3, 258) = ( 3 x 258 ) / 258

= 3 / 258

= 3

Step3:

LCM(3, 732) = 732

GCD(3, 732) = ( 3 x 732 ) / 732

= 3 / 732

= 3

So, Greatest Common Divisor of 972, 699, 258, 732 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 440, 207, 807, 196
• GCD of 129, 566, 715, 418
• GCD of 587, 259, 303, 553
• GCD of 194, 347, 299, 109
• GCD of 265, 189, 436, 599

Given numbers are 972, 699, 258, 732
The greatest common divisor of numbers 972, 699, 258, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 699, 258, 732 is 3.

1. What is the GCD of 972, 699, 258, 732?

GCD of given numbers 972, 699, 258, 732 is 3

2. How to calculate the greatest common divisor of 972, 699, 258, 732?

We can find the highest common divisor of 972, 699, 258, 732 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, 699, 258, 732 i.e 3.

3. How can I use the GCD of 972, 699, 258, 732Calculator?

Out the numbers 972, 699, 258, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.