GCD of 726, 372, 966, 588 Calculator

Given Input numbers are 726, 372, 966, 588

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

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

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 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

GCD of numbers is the greatest common divisor

So, the GCD (726, 372, 966, 588) = 6.

Given numbers are 726, 372, 966, 588

The list of prime factors of all numbers are

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 372 are 2 x 2 x 3 x 31

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

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 726, 372, 966, 588 is 6.

Given numbers are 726, 372, 966, 588

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

Apply this formula for all numbers.

Step1:

LCM(726, 372) = 45012

GCD(726, 372) = ( 726 x 372 ) / 45012

= 726 / 372

= 726

Step2:

LCM(6, 966) = 966

GCD(6, 966) = ( 6 x 966 ) / 966

= 6 / 966

= 6

Step3:

LCM(6, 588) = 588

GCD(6, 588) = ( 6 x 588 ) / 588

= 6 / 588

= 6

So, Greatest Common Divisor of 726, 372, 966, 588 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 371, 487, 904, 452
• GCD of 952, 619, 260, 488
• GCD of 754, 583, 948, 117
• GCD of 998, 124, 874, 996
• GCD of 633, 750, 155, 317

Given numbers are 726, 372, 966, 588
The greatest common divisor of numbers 726, 372, 966, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 372, 966, 588 is 6.

1. What is the GCD of 726, 372, 966, 588?

GCD of given numbers 726, 372, 966, 588 is 6

2. How to calculate the greatest common divisor of 726, 372, 966, 588?

We can find the highest common divisor of 726, 372, 966, 588 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 726, 372, 966, 588 i.e 6.

3. How can I use the GCD of 726, 372, 966, 588Calculator?

Out the numbers 726, 372, 966, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.