GCD of 724, 920, 270, 706 Calculator

Given Input numbers are 724, 920, 270, 706

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

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 (724, 920, 270, 706) = 2.

Given numbers are 724, 920, 270, 706

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 706 are 2 x 353

The highest common occurrence is 2¹

Therefore, GCD of 724, 920, 270, 706 is 2.

Given numbers are 724, 920, 270, 706

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

Apply this formula for all numbers.

Step1:

LCM(724, 920) = 166520

GCD(724, 920) = ( 724 x 920 ) / 166520

= 724 / 920

= 724

Step2:

LCM(4, 270) = 540

GCD(4, 270) = ( 4 x 270 ) / 540

= 4 / 270

= 4

Step3:

LCM(2, 706) = 706

GCD(2, 706) = ( 2 x 706 ) / 706

= 2 / 706

= 2

So, Greatest Common Divisor of 724, 920, 270, 706 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 370, 473, 477, 852
• GCD of 715, 364, 467, 373
• GCD of 790, 139, 665, 686
• GCD of 290, 613, 450, 835
• GCD of 208, 346, 538, 473

Given numbers are 724, 920, 270, 706
The greatest common divisor of numbers 724, 920, 270, 706 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 920, 270, 706 is 2.

1. What is the GCD of 724, 920, 270, 706?

GCD of given numbers 724, 920, 270, 706 is 2

2. How to calculate the greatest common divisor of 724, 920, 270, 706?

We can find the highest common divisor of 724, 920, 270, 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 724, 920, 270, 706 i.e 2.

3. How can I use the GCD of 724, 920, 270, 706Calculator?

Out the numbers 724, 920, 270, 706 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.