GCD of 172, 982, 361, 746 Calculator

Given Input numbers are 172, 982, 361, 746

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 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (172, 982, 361, 746) = 1.

Given numbers are 172, 982, 361, 746

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 982 are 2 x 491

Prime factors of 361 are 19 x 19

Prime factors of 746 are 2 x 373

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

Given numbers are 172, 982, 361, 746

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

Apply this formula for all numbers.

Step1:

LCM(172, 982) = 84452

GCD(172, 982) = ( 172 x 982 ) / 84452

= 172 / 982

= 172

Step2:

LCM(2, 361) = 722

GCD(2, 361) = ( 2 x 361 ) / 722

= 2 / 361

= 2

Step3:

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

= 1 / 746

= 1

So, Greatest Common Divisor of 172, 982, 361, 746 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 798, 197, 741, 498
• GCD of 490, 809, 662, 987
• GCD of 575, 913, 528, 695
• GCD of 493, 395, 492, 143
• GCD of 571, 688, 880, 104

Given numbers are 172, 982, 361, 746
The greatest common divisor of numbers 172, 982, 361, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 982, 361, 746 is 1.

1. What is the GCD of 172, 982, 361, 746?

GCD of given numbers 172, 982, 361, 746 is 1

2. How to calculate the greatest common divisor of 172, 982, 361, 746?

We can find the highest common divisor of 172, 982, 361, 746 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, 982, 361, 746 i.e 1.

3. How can I use the GCD of 172, 982, 361, 746Calculator?

Out the numbers 172, 982, 361, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.