GCD of 462, 802, 967, 289 Calculator

Given Input numbers are 462, 802, 967, 289

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 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 967 :

The positive integer divisors of 967 that completely divides 967 are.

1, 967

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (462, 802, 967, 289) = 1.

Given numbers are 462, 802, 967, 289

The list of prime factors of all numbers are

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

Prime factors of 802 are 2 x 401

Prime factors of 967 are 967

Prime factors of 289 are 17 x 17

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

Given numbers are 462, 802, 967, 289

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

Apply this formula for all numbers.

Step1:

LCM(462, 802) = 185262

GCD(462, 802) = ( 462 x 802 ) / 185262

= 462 / 802

= 462

Step2:

LCM(2, 967) = 1934

GCD(2, 967) = ( 2 x 967 ) / 1934

= 2 / 967

= 2

Step3:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1

So, Greatest Common Divisor of 462, 802, 967, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 491, 943, 295, 529
• GCD of 397, 679, 913, 461
• GCD of 202, 370, 267, 554
• GCD of 284, 684, 224, 159
• GCD of 369, 798, 944, 403

Given numbers are 462, 802, 967, 289
The greatest common divisor of numbers 462, 802, 967, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 802, 967, 289 is 1.

1. What is the GCD of 462, 802, 967, 289?

GCD of given numbers 462, 802, 967, 289 is 1

2. How to calculate the greatest common divisor of 462, 802, 967, 289?

We can find the highest common divisor of 462, 802, 967, 289 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, 802, 967, 289 i.e 1.

3. How can I use the GCD of 462, 802, 967, 289Calculator?

Out the numbers 462, 802, 967, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.