GCD of 272, 706, 360, 471 Calculator

Given Input numbers are 272, 706, 360, 471

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

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 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

GCD of numbers is the greatest common divisor

So, the GCD (272, 706, 360, 471) = 1.

Given numbers are 272, 706, 360, 471

The list of prime factors of all numbers are

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

Prime factors of 706 are 2 x 353

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 471 are 3 x 157

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

Given numbers are 272, 706, 360, 471

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

Apply this formula for all numbers.

Step1:

LCM(272, 706) = 96016

GCD(272, 706) = ( 272 x 706 ) / 96016

= 272 / 706

= 272

Step2:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

Step3:

LCM(2, 471) = 942

GCD(2, 471) = ( 2 x 471 ) / 942

= 2 / 471

= 2

So, Greatest Common Divisor of 272, 706, 360, 471 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 938, 342, 229, 360
• GCD of 170, 156, 105, 724
• GCD of 467, 321, 682, 745
• GCD of 327, 524, 326, 183
• GCD of 485, 811, 117, 546

Given numbers are 272, 706, 360, 471
The greatest common divisor of numbers 272, 706, 360, 471 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 706, 360, 471 is 1.

1. What is the GCD of 272, 706, 360, 471?

GCD of given numbers 272, 706, 360, 471 is 1

2. How to calculate the greatest common divisor of 272, 706, 360, 471?

We can find the highest common divisor of 272, 706, 360, 471 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 272, 706, 360, 471 i.e 1.

3. How can I use the GCD of 272, 706, 360, 471Calculator?

Out the numbers 272, 706, 360, 471 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.