GCD of 744, 652, 738, 920 Calculator

Given Input numbers are 744, 652, 738, 920

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

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

GCD of numbers is the greatest common divisor

So, the GCD (744, 652, 738, 920) = 2.

Given numbers are 744, 652, 738, 920

The list of prime factors of all numbers are

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 652 are 2 x 2 x 163

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 744, 652, 738, 920 is 2.

Given numbers are 744, 652, 738, 920

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

Apply this formula for all numbers.

Step1:

LCM(744, 652) = 121272

GCD(744, 652) = ( 744 x 652 ) / 121272

= 744 / 652

= 744

Step2:

LCM(4, 738) = 1476

GCD(4, 738) = ( 4 x 738 ) / 1476

= 4 / 738

= 4

Step3:

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

= 2 / 920

= 2

So, Greatest Common Divisor of 744, 652, 738, 920 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 967, 263, 866, 891
• GCD of 539, 616, 885, 947
• GCD of 237, 580, 522, 805
• GCD of 808, 523, 393, 385
• GCD of 535, 973, 285, 105

Given numbers are 744, 652, 738, 920
The greatest common divisor of numbers 744, 652, 738, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 652, 738, 920 is 2.

1. What is the GCD of 744, 652, 738, 920?

GCD of given numbers 744, 652, 738, 920 is 2

2. How to calculate the greatest common divisor of 744, 652, 738, 920?

We can find the highest common divisor of 744, 652, 738, 920 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 744, 652, 738, 920 i.e 2.

3. How can I use the GCD of 744, 652, 738, 920Calculator?

Out the numbers 744, 652, 738, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.