GCD of 436, 722, 188, 746 Calculator

Given Input numbers are 436, 722, 188, 746

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

Divisors of 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436

Divisors of 722 :

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

1, 2, 19, 38, 361, 722

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (436, 722, 188, 746) = 2.

Given numbers are 436, 722, 188, 746

The list of prime factors of all numbers are

Prime factors of 436 are 2 x 2 x 109

Prime factors of 722 are 2 x 19 x 19

Prime factors of 188 are 2 x 2 x 47

Prime factors of 746 are 2 x 373

The highest common occurrence is 2¹

Therefore, GCD of 436, 722, 188, 746 is 2.

Given numbers are 436, 722, 188, 746

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

Apply this formula for all numbers.

Step1:

LCM(436, 722) = 157396

GCD(436, 722) = ( 436 x 722 ) / 157396

= 436 / 722

= 436

Step2:

LCM(2, 188) = 188

GCD(2, 188) = ( 2 x 188 ) / 188

= 2 / 188

= 2

Step3:

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

= 2 / 746

= 2

So, Greatest Common Divisor of 436, 722, 188, 746 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 444, 732, 228, 616
• GCD of 497, 763, 783, 290
• GCD of 586, 968, 949, 709
• GCD of 893, 161, 470, 844
• GCD of 579, 167, 677, 917

Given numbers are 436, 722, 188, 746
The greatest common divisor of numbers 436, 722, 188, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 436, 722, 188, 746 is 2.

1. What is the GCD of 436, 722, 188, 746?

GCD of given numbers 436, 722, 188, 746 is 2

2. How to calculate the greatest common divisor of 436, 722, 188, 746?

We can find the highest common divisor of 436, 722, 188, 746 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 436, 722, 188, 746 i.e 2.

3. How can I use the GCD of 436, 722, 188, 746Calculator?

Out the numbers 436, 722, 188, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.