GCD of 462, 765, 795, 975 Calculator

Given Input numbers are 462, 765, 795, 975

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 795 :

The positive integer divisors of 795 that completely divides 795 are.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

GCD of numbers is the greatest common divisor

So, the GCD (462, 765, 795, 975) = 3.

Given numbers are 462, 765, 795, 975

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 795 are 3 x 5 x 53

Prime factors of 975 are 3 x 5 x 5 x 13

The highest common occurrence is 3¹

Therefore, GCD of 462, 765, 795, 975 is 3.

Given numbers are 462, 765, 795, 975

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

Apply this formula for all numbers.

Step1:

LCM(462, 765) = 117810

GCD(462, 765) = ( 462 x 765 ) / 117810

= 462 / 765

= 462

Step2:

LCM(3, 795) = 795

GCD(3, 795) = ( 3 x 795 ) / 795

= 3 / 795

= 3

Step3:

LCM(3, 975) = 975

GCD(3, 975) = ( 3 x 975 ) / 975

= 3 / 975

= 3

So, Greatest Common Divisor of 462, 765, 795, 975 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 388, 168, 180, 983
• GCD of 914, 820, 908, 451
• GCD of 715, 417, 666, 217
• GCD of 199, 686, 590, 231
• GCD of 874, 675, 954, 680

Given numbers are 462, 765, 795, 975
The greatest common divisor of numbers 462, 765, 795, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 765, 795, 975 is 3.

1. What is the GCD of 462, 765, 795, 975?

GCD of given numbers 462, 765, 795, 975 is 3

2. How to calculate the greatest common divisor of 462, 765, 795, 975?

We can find the highest common divisor of 462, 765, 795, 975 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 462, 765, 795, 975 i.e 3.

3. How can I use the GCD of 462, 765, 795, 975Calculator?

Out the numbers 462, 765, 795, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.