GCD of 144, 712, 564 Calculator

Given Input numbers are 144, 712, 564

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

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

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

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (144, 712, 564) = 4.

Given numbers are 144, 712, 564

The list of prime factors of all numbers are

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 564 are 2 x 2 x 3 x 47

The highest common occurrence is 2²

Therefore, GCD of 144, 712, 564 is 4.

Given numbers are 144, 712, 564

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

Apply this formula for all numbers.

Step1:

LCM(144, 712) = 12816

GCD(144, 712) = ( 144 x 712 ) / 12816

= 144 / 712

= 144

Step2:

LCM(8, 564) = 1128

GCD(8, 564) = ( 8 x 564 ) / 1128

= 8 / 564

= 8

So, Greatest Common Divisor of 144, 712, 564 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 890, 471, 338
• GCD of 619, 258, 574
• GCD of 990, 851, 128
• GCD of 947, 481, 315
• GCD of 667, 820, 533

Given numbers are 144, 712, 564
The greatest common divisor of numbers 144, 712, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 712, 564 is 4.

1. What is the GCD of 144, 712, 564?

GCD of given numbers 144, 712, 564 is 4

2. How to calculate the greatest common divisor of 144, 712, 564?

We can find the highest common divisor of 144, 712, 564 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 144, 712, 564 i.e 4.

3. How can I use the GCD of 144, 712, 564Calculator?

Out the numbers 144, 712, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.