GCD of 230, 977, 72, 460 Calculator

Given Input numbers are 230, 977, 72, 460

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

Divisors of 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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 (230, 977, 72, 460) = 1.

Given numbers are 230, 977, 72, 460

The list of prime factors of all numbers are

Prime factors of 230 are 2 x 5 x 23

Prime factors of 977 are 977

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

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 230, 977, 72, 460

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

Apply this formula for all numbers.

Step1:

LCM(230, 977) = 224710

GCD(230, 977) = ( 230 x 977 ) / 224710

= 230 / 977

= 230

Step2:

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

= 1 / 72

= 1

Step3:

LCM(1, 460) = 460

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

= 1 / 460

= 1

So, Greatest Common Divisor of 230, 977, 72, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 320, 234, 16, 893
• GCD of 688, 333, 78, 548
• GCD of 648, 521, 43, 996
• GCD of 242, 927, 40, 553
• GCD of 974, 554, 97, 293

Given numbers are 230, 977, 72, 460
The greatest common divisor of numbers 230, 977, 72, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 230, 977, 72, 460 is 1.

1. What is the GCD of 230, 977, 72, 460?

GCD of given numbers 230, 977, 72, 460 is 1

2. How to calculate the greatest common divisor of 230, 977, 72, 460?

We can find the highest common divisor of 230, 977, 72, 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 230, 977, 72, 460 i.e 1.

3. How can I use the GCD of 230, 977, 72, 460Calculator?

Out the numbers 230, 977, 72, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.