GCD of 172, 744, 772 Calculator

Given Input numbers are 172, 744, 772

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

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

GCD of numbers is the greatest common divisor

So, the GCD (172, 744, 772) = 4.

Given numbers are 172, 744, 772

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 772 are 2 x 2 x 193

The highest common occurrence is 2²

Therefore, GCD of 172, 744, 772 is 4.

Given numbers are 172, 744, 772

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

Apply this formula for all numbers.

Step1:

LCM(172, 744) = 31992

GCD(172, 744) = ( 172 x 744 ) / 31992

= 172 / 744

= 172

Step2:

LCM(4, 772) = 772

GCD(4, 772) = ( 4 x 772 ) / 772

= 4 / 772

= 4

So, Greatest Common Divisor of 172, 744, 772 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 217, 488, 936
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Given numbers are 172, 744, 772
The greatest common divisor of numbers 172, 744, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 744, 772 is 4.

1. What is the GCD of 172, 744, 772?

GCD of given numbers 172, 744, 772 is 4

2. How to calculate the greatest common divisor of 172, 744, 772?

We can find the highest common divisor of 172, 744, 772 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 172, 744, 772 i.e 4.

3. How can I use the GCD of 172, 744, 772Calculator?

Out the numbers 172, 744, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.