GCD of 536, 146, 172 Calculator

Given Input numbers are 536, 146, 172

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 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (536, 146, 172) = 2.

Given numbers are 536, 146, 172

The list of prime factors of all numbers are

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

Prime factors of 146 are 2 x 73

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 536, 146, 172 is 2.

Given numbers are 536, 146, 172

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

Apply this formula for all numbers.

Step1:

LCM(536, 146) = 39128

GCD(536, 146) = ( 536 x 146 ) / 39128

= 536 / 146

= 536

Step2:

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

= 2 / 172

= 2

So, Greatest Common Divisor of 536, 146, 172 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 308, 740, 756
• GCD of 357, 149, 642
• GCD of 791, 456, 313
• GCD of 544, 219, 434
• GCD of 377, 616, 479

Given numbers are 536, 146, 172
The greatest common divisor of numbers 536, 146, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 536, 146, 172 is 2.

1. What is the GCD of 536, 146, 172?

GCD of given numbers 536, 146, 172 is 2

2. How to calculate the greatest common divisor of 536, 146, 172?

We can find the highest common divisor of 536, 146, 172 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, 146, 172 i.e 2.

3. How can I use the GCD of 536, 146, 172Calculator?

Out the numbers 536, 146, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.