GCD of 536, 972, 196, 232 Calculator

Given Input numbers are 536, 972, 196, 232

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

Divisors of 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

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 (536, 972, 196, 232) = 4.

Given numbers are 536, 972, 196, 232

The list of prime factors of all numbers are

Prime factors of 536 are 2 x 2 x 2 x 67

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 196 are 2 x 2 x 7 x 7

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

The highest common occurrence is 2²

Therefore, GCD of 536, 972, 196, 232 is 4.

Given numbers are 536, 972, 196, 232

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

Apply this formula for all numbers.

Step1:

LCM(536, 972) = 130248

GCD(536, 972) = ( 536 x 972 ) / 130248

= 536 / 972

= 536

Step2:

LCM(4, 196) = 196

GCD(4, 196) = ( 4 x 196 ) / 196

= 4 / 196

= 4

Step3:

LCM(4, 232) = 232

GCD(4, 232) = ( 4 x 232 ) / 232

= 4 / 232

= 4

So, Greatest Common Divisor of 536, 972, 196, 232 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 738, 752, 626, 589
• GCD of 942, 783, 548, 772
• GCD of 725, 456, 894, 180
• GCD of 120, 948, 934, 982
• GCD of 551, 766, 510, 533

Given numbers are 536, 972, 196, 232
The greatest common divisor of numbers 536, 972, 196, 232 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 536, 972, 196, 232 is 4.

1. What is the GCD of 536, 972, 196, 232?

GCD of given numbers 536, 972, 196, 232 is 4

2. How to calculate the greatest common divisor of 536, 972, 196, 232?

We can find the highest common divisor of 536, 972, 196, 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 536, 972, 196, 232 i.e 4.

3. How can I use the GCD of 536, 972, 196, 232Calculator?

Out the numbers 536, 972, 196, 232 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.