GCD of 561, 289, 464, 147 Calculator

Given Input numbers are 561, 289, 464, 147

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

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 289 :

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

1, 17, 289

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

GCD of numbers is the greatest common divisor

So, the GCD (561, 289, 464, 147) = 1.

Given numbers are 561, 289, 464, 147

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 289 are 17 x 17

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 147 are 3 x 7 x 7

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

Given numbers are 561, 289, 464, 147

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

Apply this formula for all numbers.

Step1:

LCM(561, 289) = 9537

GCD(561, 289) = ( 561 x 289 ) / 9537

= 561 / 289

= 561

Step2:

LCM(17, 464) = 7888

GCD(17, 464) = ( 17 x 464 ) / 7888

= 17 / 464

= 17

Step3:

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

= 1 / 147

= 1

So, Greatest Common Divisor of 561, 289, 464, 147 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 192, 149, 390, 324
• GCD of 263, 207, 418, 305
• GCD of 974, 561, 906, 852
• GCD of 909, 619, 201, 542
• GCD of 897, 543, 735, 476

Given numbers are 561, 289, 464, 147
The greatest common divisor of numbers 561, 289, 464, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 289, 464, 147 is 1.

1. What is the GCD of 561, 289, 464, 147?

GCD of given numbers 561, 289, 464, 147 is 1

2. How to calculate the greatest common divisor of 561, 289, 464, 147?

We can find the highest common divisor of 561, 289, 464, 147 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 561, 289, 464, 147 i.e 1.

3. How can I use the GCD of 561, 289, 464, 147Calculator?

Out the numbers 561, 289, 464, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.