GCD of 960, 580, 138, 644 Calculator

Given Input numbers are 960, 580, 138, 644

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

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

GCD of numbers is the greatest common divisor

So, the GCD (960, 580, 138, 644) = 2.

Given numbers are 960, 580, 138, 644

The list of prime factors of all numbers are

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 138 are 2 x 3 x 23

Prime factors of 644 are 2 x 2 x 7 x 23

The highest common occurrence is 2¹

Therefore, GCD of 960, 580, 138, 644 is 2.

Given numbers are 960, 580, 138, 644

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

Apply this formula for all numbers.

Step1:

LCM(960, 580) = 27840

GCD(960, 580) = ( 960 x 580 ) / 27840

= 960 / 580

= 960

Step2:

LCM(20, 138) = 1380

GCD(20, 138) = ( 20 x 138 ) / 1380

= 20 / 138

= 20

Step3:

LCM(2, 644) = 644

GCD(2, 644) = ( 2 x 644 ) / 644

= 2 / 644

= 2

So, Greatest Common Divisor of 960, 580, 138, 644 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 244, 127, 983, 922
• GCD of 413, 952, 401, 379
• GCD of 136, 993, 866, 564
• GCD of 880, 103, 984, 667
• GCD of 228, 734, 812, 275

Given numbers are 960, 580, 138, 644
The greatest common divisor of numbers 960, 580, 138, 644 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 580, 138, 644 is 2.

1. What is the GCD of 960, 580, 138, 644?

GCD of given numbers 960, 580, 138, 644 is 2

2. How to calculate the greatest common divisor of 960, 580, 138, 644?

We can find the highest common divisor of 960, 580, 138, 644 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 960, 580, 138, 644 i.e 2.

3. How can I use the GCD of 960, 580, 138, 644Calculator?

Out the numbers 960, 580, 138, 644 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.