GCD of 738, 852, 764, 722 Calculator

Given Input numbers are 738, 852, 764, 722

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

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 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

GCD of numbers is the greatest common divisor

So, the GCD (738, 852, 764, 722) = 2.

Given numbers are 738, 852, 764, 722

The list of prime factors of all numbers are

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

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 764 are 2 x 2 x 191

Prime factors of 722 are 2 x 19 x 19

The highest common occurrence is 2¹

Therefore, GCD of 738, 852, 764, 722 is 2.

Given numbers are 738, 852, 764, 722

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

Apply this formula for all numbers.

Step1:

LCM(738, 852) = 104796

GCD(738, 852) = ( 738 x 852 ) / 104796

= 738 / 852

= 738

Step2:

LCM(6, 764) = 2292

GCD(6, 764) = ( 6 x 764 ) / 2292

= 6 / 764

= 6

Step3:

LCM(2, 722) = 722

GCD(2, 722) = ( 2 x 722 ) / 722

= 2 / 722

= 2

So, Greatest Common Divisor of 738, 852, 764, 722 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 738, 506, 522, 841
• GCD of 941, 527, 677, 329
• GCD of 275, 398, 882, 574
• GCD of 634, 713, 268, 325
• GCD of 602, 125, 205, 694

Given numbers are 738, 852, 764, 722
The greatest common divisor of numbers 738, 852, 764, 722 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 852, 764, 722 is 2.

1. What is the GCD of 738, 852, 764, 722?

GCD of given numbers 738, 852, 764, 722 is 2

2. How to calculate the greatest common divisor of 738, 852, 764, 722?

We can find the highest common divisor of 738, 852, 764, 722 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 738, 852, 764, 722 i.e 2.

3. How can I use the GCD of 738, 852, 764, 722Calculator?

Out the numbers 738, 852, 764, 722 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.