GCD of 462, 501, 588, 969 Calculator

Given Input numbers are 462, 501, 588, 969

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 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

GCD of numbers is the greatest common divisor

So, the GCD (462, 501, 588, 969) = 3.

Given numbers are 462, 501, 588, 969

The list of prime factors of all numbers are

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

Prime factors of 501 are 3 x 167

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 969 are 3 x 17 x 19

The highest common occurrence is 3¹

Therefore, GCD of 462, 501, 588, 969 is 3.

Given numbers are 462, 501, 588, 969

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

Apply this formula for all numbers.

Step1:

LCM(462, 501) = 77154

GCD(462, 501) = ( 462 x 501 ) / 77154

= 462 / 501

= 462

Step2:

LCM(3, 588) = 588

GCD(3, 588) = ( 3 x 588 ) / 588

= 3 / 588

= 3

Step3:

LCM(3, 969) = 969

GCD(3, 969) = ( 3 x 969 ) / 969

= 3 / 969

= 3

So, Greatest Common Divisor of 462, 501, 588, 969 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 829, 918, 547, 244
• GCD of 921, 697, 375, 830
• GCD of 396, 476, 479, 778
• GCD of 811, 547, 312, 831
• GCD of 133, 767, 382, 559

Given numbers are 462, 501, 588, 969
The greatest common divisor of numbers 462, 501, 588, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 501, 588, 969 is 3.

1. What is the GCD of 462, 501, 588, 969?

GCD of given numbers 462, 501, 588, 969 is 3

2. How to calculate the greatest common divisor of 462, 501, 588, 969?

We can find the highest common divisor of 462, 501, 588, 969 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, 501, 588, 969 i.e 3.

3. How can I use the GCD of 462, 501, 588, 969Calculator?

Out the numbers 462, 501, 588, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.