GCD of 288, 420, 964, 692 Calculator

Given Input numbers are 288, 420, 964, 692

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

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

GCD of numbers is the greatest common divisor

So, the GCD (288, 420, 964, 692) = 4.

Given numbers are 288, 420, 964, 692

The list of prime factors of all numbers are

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 964 are 2 x 2 x 241

Prime factors of 692 are 2 x 2 x 173

The highest common occurrence is 2²

Therefore, GCD of 288, 420, 964, 692 is 4.

Given numbers are 288, 420, 964, 692

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

Apply this formula for all numbers.

Step1:

LCM(288, 420) = 10080

GCD(288, 420) = ( 288 x 420 ) / 10080

= 288 / 420

= 288

Step2:

LCM(12, 964) = 2892

GCD(12, 964) = ( 12 x 964 ) / 2892

= 12 / 964

= 12

Step3:

LCM(4, 692) = 692

GCD(4, 692) = ( 4 x 692 ) / 692

= 4 / 692

= 4

So, Greatest Common Divisor of 288, 420, 964, 692 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 773, 388, 422, 228
• GCD of 273, 566, 162, 877
• GCD of 594, 933, 969, 683
• GCD of 590, 483, 846, 698
• GCD of 720, 758, 520, 709

Given numbers are 288, 420, 964, 692
The greatest common divisor of numbers 288, 420, 964, 692 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 420, 964, 692 is 4.

1. What is the GCD of 288, 420, 964, 692?

GCD of given numbers 288, 420, 964, 692 is 4

2. How to calculate the greatest common divisor of 288, 420, 964, 692?

We can find the highest common divisor of 288, 420, 964, 692 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 288, 420, 964, 692 i.e 4.

3. How can I use the GCD of 288, 420, 964, 692Calculator?

Out the numbers 288, 420, 964, 692 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.