GCD of 172, 882, 749 Calculator

Given Input numbers are 172, 882, 749

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 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (172, 882, 749) = 1.

Given numbers are 172, 882, 749

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 749 are 7 x 107

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 172, 882, 749

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

Apply this formula for all numbers.

Step1:

LCM(172, 882) = 75852

GCD(172, 882) = ( 172 x 882 ) / 75852

= 172 / 882

= 172

Step2:

LCM(2, 749) = 1498

GCD(2, 749) = ( 2 x 749 ) / 1498

= 2 / 749

= 2

So, Greatest Common Divisor of 172, 882, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 706, 123, 238
• GCD of 174, 402, 802
• GCD of 287, 572, 966
• GCD of 300, 835, 989
• GCD of 244, 453, 878

Given numbers are 172, 882, 749
The greatest common divisor of numbers 172, 882, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 882, 749 is 1.

1. What is the GCD of 172, 882, 749?

GCD of given numbers 172, 882, 749 is 1

2. How to calculate the greatest common divisor of 172, 882, 749?

We can find the highest common divisor of 172, 882, 749 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, 882, 749 i.e 1.

3. How can I use the GCD of 172, 882, 749Calculator?

Out the numbers 172, 882, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.