GCD of 144, 586, 770, 104 Calculator

Given Input numbers are 144, 586, 770, 104

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

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

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

GCD of numbers is the greatest common divisor

So, the GCD (144, 586, 770, 104) = 2.

Given numbers are 144, 586, 770, 104

The list of prime factors of all numbers are

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

Prime factors of 586 are 2 x 293

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 104 are 2 x 2 x 2 x 13

The highest common occurrence is 2¹

Therefore, GCD of 144, 586, 770, 104 is 2.

Given numbers are 144, 586, 770, 104

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

Apply this formula for all numbers.

Step1:

LCM(144, 586) = 42192

GCD(144, 586) = ( 144 x 586 ) / 42192

= 144 / 586

= 144

Step2:

LCM(2, 770) = 770

GCD(2, 770) = ( 2 x 770 ) / 770

= 2 / 770

= 2

Step3:

LCM(2, 104) = 104

GCD(2, 104) = ( 2 x 104 ) / 104

= 2 / 104

= 2

So, Greatest Common Divisor of 144, 586, 770, 104 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 593, 899, 609, 998
• GCD of 671, 913, 334, 945
• GCD of 926, 190, 391, 709
• GCD of 987, 561, 756, 927
• GCD of 632, 582, 128, 201

Given numbers are 144, 586, 770, 104
The greatest common divisor of numbers 144, 586, 770, 104 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 586, 770, 104 is 2.

1. What is the GCD of 144, 586, 770, 104?

GCD of given numbers 144, 586, 770, 104 is 2

2. How to calculate the greatest common divisor of 144, 586, 770, 104?

We can find the highest common divisor of 144, 586, 770, 104 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 144, 586, 770, 104 i.e 2.

3. How can I use the GCD of 144, 586, 770, 104Calculator?

Out the numbers 144, 586, 770, 104 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.