GCD of 120, 229, 427, 706 Calculator

Given Input numbers are 120, 229, 427, 706

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 229 :

The positive integer divisors of 229 that completely divides 229 are.

1, 229

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

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 (120, 229, 427, 706) = 1.

Given numbers are 120, 229, 427, 706

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 229 are 229

Prime factors of 427 are 7 x 61

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 120, 229, 427, 706

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

Apply this formula for all numbers.

Step1:

LCM(120, 229) = 27480

GCD(120, 229) = ( 120 x 229 ) / 27480

= 120 / 229

= 120

Step2:

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

= 1 / 427

= 1

Step3:

LCM(1, 706) = 706

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

= 1 / 706

= 1

So, Greatest Common Divisor of 120, 229, 427, 706 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 184, 439, 809, 285
• GCD of 491, 152, 203, 500
• GCD of 198, 505, 295, 370
• GCD of 729, 670, 971, 343
• GCD of 950, 763, 436, 960

Given numbers are 120, 229, 427, 706
The greatest common divisor of numbers 120, 229, 427, 706 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 229, 427, 706 is 1.

1. What is the GCD of 120, 229, 427, 706?

GCD of given numbers 120, 229, 427, 706 is 1

2. How to calculate the greatest common divisor of 120, 229, 427, 706?

We can find the highest common divisor of 120, 229, 427, 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 120, 229, 427, 706 i.e 1.

3. How can I use the GCD of 120, 229, 427, 706Calculator?

Out the numbers 120, 229, 427, 706 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.