GCD of 272, 469, 315, 706 Calculator

Given Input numbers are 272, 469, 315, 706

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 469 :

The positive integer divisors of 469 that completely divides 469 are.

1, 7, 67, 469

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 706 :

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

1, 2, 353, 706

GCD of numbers is the greatest common divisor

So, the GCD (272, 469, 315, 706) = 1.

Given numbers are 272, 469, 315, 706

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 469 are 7 x 67

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 706 are 2 x 353

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

Given numbers are 272, 469, 315, 706

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

Apply this formula for all numbers.

Step1:

LCM(272, 469) = 127568

GCD(272, 469) = ( 272 x 469 ) / 127568

= 272 / 469

= 272

Step2:

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

= 1 / 315

= 1

Step3:

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

= 1 / 706

= 1

So, Greatest Common Divisor of 272, 469, 315, 706 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 599, 588, 133, 789
• GCD of 785, 512, 867, 243
• GCD of 937, 979, 436, 919
• GCD of 540, 195, 381, 720
• GCD of 622, 132, 693, 841

Given numbers are 272, 469, 315, 706
The greatest common divisor of numbers 272, 469, 315, 706 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 469, 315, 706 is 1.

1. What is the GCD of 272, 469, 315, 706?

GCD of given numbers 272, 469, 315, 706 is 1

2. How to calculate the greatest common divisor of 272, 469, 315, 706?

We can find the highest common divisor of 272, 469, 315, 706 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, 469, 315, 706 i.e 1.

3. How can I use the GCD of 272, 469, 315, 706Calculator?

Out the numbers 272, 469, 315, 706 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.