GCD of 206, 120, 307, 460 Calculator

Given Input numbers are 206, 120, 307, 460

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

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

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 307 :

The positive integer divisors of 307 that completely divides 307 are.

1, 307

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

GCD of numbers is the greatest common divisor

So, the GCD (206, 120, 307, 460) = 1.

Given numbers are 206, 120, 307, 460

The list of prime factors of all numbers are

Prime factors of 206 are 2 x 103

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

Prime factors of 307 are 307

Prime factors of 460 are 2 x 2 x 5 x 23

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

Given numbers are 206, 120, 307, 460

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

Apply this formula for all numbers.

Step1:

LCM(206, 120) = 12360

GCD(206, 120) = ( 206 x 120 ) / 12360

= 206 / 120

= 206

Step2:

LCM(2, 307) = 614

GCD(2, 307) = ( 2 x 307 ) / 614

= 2 / 307

= 2

Step3:

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

= 1 / 460

= 1

So, Greatest Common Divisor of 206, 120, 307, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 543, 958, 500, 972
• GCD of 852, 145, 460, 239
• GCD of 352, 712, 145, 527
• GCD of 428, 414, 805, 678
• GCD of 231, 698, 977, 773

Given numbers are 206, 120, 307, 460
The greatest common divisor of numbers 206, 120, 307, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 206, 120, 307, 460 is 1.

1. What is the GCD of 206, 120, 307, 460?

GCD of given numbers 206, 120, 307, 460 is 1

2. How to calculate the greatest common divisor of 206, 120, 307, 460?

We can find the highest common divisor of 206, 120, 307, 460 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 206, 120, 307, 460 i.e 1.

3. How can I use the GCD of 206, 120, 307, 460Calculator?

Out the numbers 206, 120, 307, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.