GCD of 164, 446, 742, 357 Calculator

Given Input numbers are 164, 446, 742, 357

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

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

GCD of numbers is the greatest common divisor

So, the GCD (164, 446, 742, 357) = 1.

Given numbers are 164, 446, 742, 357

The list of prime factors of all numbers are

Prime factors of 164 are 2 x 2 x 41

Prime factors of 446 are 2 x 223

Prime factors of 742 are 2 x 7 x 53

Prime factors of 357 are 3 x 7 x 17

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

Given numbers are 164, 446, 742, 357

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

Apply this formula for all numbers.

Step1:

LCM(164, 446) = 36572

GCD(164, 446) = ( 164 x 446 ) / 36572

= 164 / 446

= 164

Step2:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

Step3:

LCM(2, 357) = 714

GCD(2, 357) = ( 2 x 357 ) / 714

= 2 / 357

= 2

So, Greatest Common Divisor of 164, 446, 742, 357 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 310, 503, 179, 971
• GCD of 858, 145, 587, 331
• GCD of 493, 427, 314, 654
• GCD of 365, 547, 867, 166
• GCD of 402, 180, 112, 407

Given numbers are 164, 446, 742, 357
The greatest common divisor of numbers 164, 446, 742, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 446, 742, 357 is 1.

1. What is the GCD of 164, 446, 742, 357?

GCD of given numbers 164, 446, 742, 357 is 1

2. How to calculate the greatest common divisor of 164, 446, 742, 357?

We can find the highest common divisor of 164, 446, 742, 357 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 164, 446, 742, 357 i.e 1.

3. How can I use the GCD of 164, 446, 742, 357Calculator?

Out the numbers 164, 446, 742, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.