GCD of 738, 452, 724, 222 Calculator

Given Input numbers are 738, 452, 724, 222

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 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

GCD of numbers is the greatest common divisor

So, the GCD (738, 452, 724, 222) = 2.

Given numbers are 738, 452, 724, 222

The list of prime factors of all numbers are

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

Prime factors of 452 are 2 x 2 x 113

Prime factors of 724 are 2 x 2 x 181

Prime factors of 222 are 2 x 3 x 37

The highest common occurrence is 2¹

Therefore, GCD of 738, 452, 724, 222 is 2.

Given numbers are 738, 452, 724, 222

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

Apply this formula for all numbers.

Step1:

LCM(738, 452) = 166788

GCD(738, 452) = ( 738 x 452 ) / 166788

= 738 / 452

= 738

Step2:

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

= 2 / 724

= 2

Step3:

LCM(2, 222) = 222

GCD(2, 222) = ( 2 x 222 ) / 222

= 2 / 222

= 2

So, Greatest Common Divisor of 738, 452, 724, 222 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 785, 449, 498, 180
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• GCD of 357, 844, 266, 700
• GCD of 288, 446, 957, 138

Given numbers are 738, 452, 724, 222
The greatest common divisor of numbers 738, 452, 724, 222 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 452, 724, 222 is 2.

1. What is the GCD of 738, 452, 724, 222?

GCD of given numbers 738, 452, 724, 222 is 2

2. How to calculate the greatest common divisor of 738, 452, 724, 222?

We can find the highest common divisor of 738, 452, 724, 222 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, 452, 724, 222 i.e 2.

3. How can I use the GCD of 738, 452, 724, 222Calculator?

Out the numbers 738, 452, 724, 222 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.