GCD of 144, 772, 724, 690 Calculator

Given Input numbers are 144, 772, 724, 690

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 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

GCD of numbers is the greatest common divisor

So, the GCD (144, 772, 724, 690) = 2.

Given numbers are 144, 772, 724, 690

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 772 are 2 x 2 x 193

Prime factors of 724 are 2 x 2 x 181

Prime factors of 690 are 2 x 3 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 144, 772, 724, 690 is 2.

Given numbers are 144, 772, 724, 690

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

Apply this formula for all numbers.

Step1:

LCM(144, 772) = 27792

GCD(144, 772) = ( 144 x 772 ) / 27792

= 144 / 772

= 144

Step2:

LCM(4, 724) = 724

GCD(4, 724) = ( 4 x 724 ) / 724

= 4 / 724

= 4

Step3:

LCM(4, 690) = 1380

GCD(4, 690) = ( 4 x 690 ) / 1380

= 4 / 690

= 4

So, Greatest Common Divisor of 144, 772, 724, 690 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 873, 490, 167, 104
• GCD of 758, 471, 155, 471
• GCD of 355, 450, 393, 117
• GCD of 692, 565, 373, 850
• GCD of 618, 285, 623, 139

Given numbers are 144, 772, 724, 690
The greatest common divisor of numbers 144, 772, 724, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 772, 724, 690 is 2.

1. What is the GCD of 144, 772, 724, 690?

GCD of given numbers 144, 772, 724, 690 is 2

2. How to calculate the greatest common divisor of 144, 772, 724, 690?

We can find the highest common divisor of 144, 772, 724, 690 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, 772, 724, 690 i.e 2.

3. How can I use the GCD of 144, 772, 724, 690Calculator?

Out the numbers 144, 772, 724, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.