GCD of 476, 289, 106, 144 Calculator

Given Input numbers are 476, 289, 106, 144

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

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 289 :

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

1, 17, 289

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

GCD of numbers is the greatest common divisor

So, the GCD (476, 289, 106, 144) = 1.

Given numbers are 476, 289, 106, 144

The list of prime factors of all numbers are

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 289 are 17 x 17

Prime factors of 106 are 2 x 53

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 476, 289, 106, 144

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

Apply this formula for all numbers.

Step1:

LCM(476, 289) = 8092

GCD(476, 289) = ( 476 x 289 ) / 8092

= 476 / 289

= 476

Step2:

LCM(17, 106) = 1802

GCD(17, 106) = ( 17 x 106 ) / 1802

= 17 / 106

= 17

Step3:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1

So, Greatest Common Divisor of 476, 289, 106, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 540, 992, 620
• GCD of 698, 581, 151, 364
• GCD of 417, 350, 247, 925
• GCD of 975, 912, 842, 339
• GCD of 242, 166, 325, 766

Given numbers are 476, 289, 106, 144
The greatest common divisor of numbers 476, 289, 106, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 476, 289, 106, 144 is 1.

1. What is the GCD of 476, 289, 106, 144?

GCD of given numbers 476, 289, 106, 144 is 1

2. How to calculate the greatest common divisor of 476, 289, 106, 144?

We can find the highest common divisor of 476, 289, 106, 144 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 476, 289, 106, 144 i.e 1.

3. How can I use the GCD of 476, 289, 106, 144Calculator?

Out the numbers 476, 289, 106, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.