GCD of 120, 214, 567, 920 Calculator

Given Input numbers are 120, 214, 567, 920

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 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

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

GCD of numbers is the greatest common divisor

So, the GCD (120, 214, 567, 920) = 1.

Given numbers are 120, 214, 567, 920

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 214 are 2 x 107

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

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

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

Given numbers are 120, 214, 567, 920

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

Apply this formula for all numbers.

Step1:

LCM(120, 214) = 12840

GCD(120, 214) = ( 120 x 214 ) / 12840

= 120 / 214

= 120

Step2:

LCM(2, 567) = 1134

GCD(2, 567) = ( 2 x 567 ) / 1134

= 2 / 567

= 2

Step3:

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

= 1 / 920

= 1

So, Greatest Common Divisor of 120, 214, 567, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 279, 954, 148, 786
• GCD of 296, 706, 647, 370
• GCD of 221, 804, 711, 211
• GCD of 354, 636, 402, 236
• GCD of 553, 236, 965, 260

Given numbers are 120, 214, 567, 920
The greatest common divisor of numbers 120, 214, 567, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 214, 567, 920 is 1.

1. What is the GCD of 120, 214, 567, 920?

GCD of given numbers 120, 214, 567, 920 is 1

2. How to calculate the greatest common divisor of 120, 214, 567, 920?

We can find the highest common divisor of 120, 214, 567, 920 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, 214, 567, 920 i.e 1.

3. How can I use the GCD of 120, 214, 567, 920Calculator?

Out the numbers 120, 214, 567, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.