GCD of 176, 272, 445, 742 Calculator

Given Input numbers are 176, 272, 445, 742

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

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 445 :

The positive integer divisors of 445 that completely divides 445 are.

1, 5, 89, 445

Divisors of 742 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (176, 272, 445, 742) = 1.

Given numbers are 176, 272, 445, 742

The list of prime factors of all numbers are

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 445 are 5 x 89

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 176, 272, 445, 742

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

Apply this formula for all numbers.

Step1:

LCM(176, 272) = 2992

GCD(176, 272) = ( 176 x 272 ) / 2992

= 176 / 272

= 176

Step2:

LCM(16, 445) = 7120

GCD(16, 445) = ( 16 x 445 ) / 7120

= 16 / 445

= 16

Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 176, 272, 445, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 767, 814, 312, 681
• GCD of 393, 684, 215, 234
• GCD of 216, 383, 175, 769
• GCD of 769, 407, 999, 856
• GCD of 652, 864, 367, 629

Given numbers are 176, 272, 445, 742
The greatest common divisor of numbers 176, 272, 445, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 176, 272, 445, 742 is 1.

1. What is the GCD of 176, 272, 445, 742?

GCD of given numbers 176, 272, 445, 742 is 1

2. How to calculate the greatest common divisor of 176, 272, 445, 742?

We can find the highest common divisor of 176, 272, 445, 742 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 176, 272, 445, 742 i.e 1.

3. How can I use the GCD of 176, 272, 445, 742Calculator?

Out the numbers 176, 272, 445, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.