GCD of 807, 460, 382, 972 Calculator

Given Input numbers are 807, 460, 382, 972

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

Divisors of 807 :

The positive integer divisors of 807 that completely divides 807 are.

1, 3, 269, 807

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

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (807, 460, 382, 972) = 1.

Given numbers are 807, 460, 382, 972

The list of prime factors of all numbers are

Prime factors of 807 are 3 x 269

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

Prime factors of 382 are 2 x 191

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Given numbers are 807, 460, 382, 972

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

Apply this formula for all numbers.

Step1:

LCM(807, 460) = 371220

GCD(807, 460) = ( 807 x 460 ) / 371220

= 807 / 460

= 807

Step2:

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

= 1 / 382

= 1

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 807, 460, 382, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 798, 763, 271, 279
• GCD of 322, 640, 160, 619
• GCD of 975, 968, 664, 327
• GCD of 949, 734, 674, 868
• GCD of 710, 930, 986, 883

Given numbers are 807, 460, 382, 972
The greatest common divisor of numbers 807, 460, 382, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 807, 460, 382, 972 is 1.

1. What is the GCD of 807, 460, 382, 972?

GCD of given numbers 807, 460, 382, 972 is 1

2. How to calculate the greatest common divisor of 807, 460, 382, 972?

We can find the highest common divisor of 807, 460, 382, 972 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 807, 460, 382, 972 i.e 1.

3. How can I use the GCD of 807, 460, 382, 972Calculator?

Out the numbers 807, 460, 382, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.