GCD of 738, 190, 920, 232 Calculator

Given Input numbers are 738, 190, 920, 232

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 190 :

The positive integer divisors of 190 that completely divides 190 are.

1, 2, 5, 10, 19, 38, 95, 190

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

Divisors of 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

GCD of numbers is the greatest common divisor

So, the GCD (738, 190, 920, 232) = 2.

Given numbers are 738, 190, 920, 232

The list of prime factors of all numbers are

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

Prime factors of 190 are 2 x 5 x 19

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

Prime factors of 232 are 2 x 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 738, 190, 920, 232 is 2.

Given numbers are 738, 190, 920, 232

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

Apply this formula for all numbers.

Step1:

LCM(738, 190) = 70110

GCD(738, 190) = ( 738 x 190 ) / 70110

= 738 / 190

= 738

Step2:

LCM(2, 920) = 920

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

= 2 / 920

= 2

Step3:

LCM(2, 232) = 232

GCD(2, 232) = ( 2 x 232 ) / 232

= 2 / 232

= 2

So, Greatest Common Divisor of 738, 190, 920, 232 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 871, 821, 179, 413
• GCD of 301, 890, 138, 996
• GCD of 188, 722, 278, 987
• GCD of 438, 319, 665, 184
• GCD of 381, 713, 242, 987

Given numbers are 738, 190, 920, 232
The greatest common divisor of numbers 738, 190, 920, 232 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 190, 920, 232 is 2.

1. What is the GCD of 738, 190, 920, 232?

GCD of given numbers 738, 190, 920, 232 is 2

2. How to calculate the greatest common divisor of 738, 190, 920, 232?

We can find the highest common divisor of 738, 190, 920, 232 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, 190, 920, 232 i.e 2.

3. How can I use the GCD of 738, 190, 920, 232Calculator?

Out the numbers 738, 190, 920, 232 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.