GCD of 176, 160, 735, 216 Calculator

Given Input numbers are 176, 160, 735, 216

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 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

GCD of numbers is the greatest common divisor

So, the GCD (176, 160, 735, 216) = 1.

Given numbers are 176, 160, 735, 216

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 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

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

Given numbers are 176, 160, 735, 216

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

Apply this formula for all numbers.

Step1:

LCM(176, 160) = 1760

GCD(176, 160) = ( 176 x 160 ) / 1760

= 176 / 160

= 176

Step2:

LCM(16, 735) = 11760

GCD(16, 735) = ( 16 x 735 ) / 11760

= 16 / 735

= 16

Step3:

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

= 1 / 216

= 1

So, Greatest Common Divisor of 176, 160, 735, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 692, 157, 686, 670
• GCD of 509, 759, 659, 575
• GCD of 176, 374, 561, 973
• GCD of 717, 703, 290, 433
• GCD of 735, 381, 596, 351

Given numbers are 176, 160, 735, 216
The greatest common divisor of numbers 176, 160, 735, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 176, 160, 735, 216 is 1.

1. What is the GCD of 176, 160, 735, 216?

GCD of given numbers 176, 160, 735, 216 is 1

2. How to calculate the greatest common divisor of 176, 160, 735, 216?

We can find the highest common divisor of 176, 160, 735, 216 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, 160, 735, 216 i.e 1.

3. How can I use the GCD of 176, 160, 735, 216Calculator?

Out the numbers 176, 160, 735, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.