GCD of 966, 525, 667, 724 Calculator

Given Input numbers are 966, 525, 667, 724

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

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 667 :

The positive integer divisors of 667 that completely divides 667 are.

1, 23, 29, 667

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (966, 525, 667, 724) = 1.

Given numbers are 966, 525, 667, 724

The list of prime factors of all numbers are

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 525 are 3 x 5 x 5 x 7

Prime factors of 667 are 23 x 29

Prime factors of 724 are 2 x 2 x 181

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

Given numbers are 966, 525, 667, 724

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

Apply this formula for all numbers.

Step1:

LCM(966, 525) = 24150

GCD(966, 525) = ( 966 x 525 ) / 24150

= 966 / 525

= 966

Step2:

LCM(21, 667) = 14007

GCD(21, 667) = ( 21 x 667 ) / 14007

= 21 / 667

= 21

Step3:

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

= 1 / 724

= 1

So, Greatest Common Divisor of 966, 525, 667, 724 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 141, 125, 733, 551
• GCD of 607, 974, 366, 417
• GCD of 646, 837, 790, 234
• GCD of 878, 538, 428, 138
• GCD of 368, 155, 424, 691

Given numbers are 966, 525, 667, 724
The greatest common divisor of numbers 966, 525, 667, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 525, 667, 724 is 1.

1. What is the GCD of 966, 525, 667, 724?

GCD of given numbers 966, 525, 667, 724 is 1

2. How to calculate the greatest common divisor of 966, 525, 667, 724?

We can find the highest common divisor of 966, 525, 667, 724 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 966, 525, 667, 724 i.e 1.

3. How can I use the GCD of 966, 525, 667, 724Calculator?

Out the numbers 966, 525, 667, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.