GCD of 800, 972, 817, 762 Calculator

Given Input numbers are 800, 972, 817, 762

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

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

Divisors of 817 :

The positive integer divisors of 817 that completely divides 817 are.

1, 19, 43, 817

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

GCD of numbers is the greatest common divisor

So, the GCD (800, 972, 817, 762) = 1.

Given numbers are 800, 972, 817, 762

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

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

Prime factors of 817 are 19 x 43

Prime factors of 762 are 2 x 3 x 127

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

Given numbers are 800, 972, 817, 762

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

Apply this formula for all numbers.

Step1:

LCM(800, 972) = 194400

GCD(800, 972) = ( 800 x 972 ) / 194400

= 800 / 972

= 800

Step2:

LCM(4, 817) = 3268

GCD(4, 817) = ( 4 x 817 ) / 3268

= 4 / 817

= 4

Step3:

LCM(1, 762) = 762

GCD(1, 762) = ( 1 x 762 ) / 762

= 1 / 762

= 1

So, Greatest Common Divisor of 800, 972, 817, 762 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 996, 663, 482, 800
• GCD of 363, 637, 200, 399
• GCD of 510, 890, 787, 829
• GCD of 683, 839, 219, 423
• GCD of 426, 697, 304, 949

Given numbers are 800, 972, 817, 762
The greatest common divisor of numbers 800, 972, 817, 762 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 972, 817, 762 is 1.

1. What is the GCD of 800, 972, 817, 762?

GCD of given numbers 800, 972, 817, 762 is 1

2. How to calculate the greatest common divisor of 800, 972, 817, 762?

We can find the highest common divisor of 800, 972, 817, 762 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 800, 972, 817, 762 i.e 1.

3. How can I use the GCD of 800, 972, 817, 762Calculator?

Out the numbers 800, 972, 817, 762 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.