GCD of 621, 699, 849, 960 Calculator

Given Input numbers are 621, 699, 849, 960

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

Divisors of 621 :

The positive integer divisors of 621 that completely divides 621 are.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

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

GCD of numbers is the greatest common divisor

So, the GCD (621, 699, 849, 960) = 3.

Given numbers are 621, 699, 849, 960

The list of prime factors of all numbers are

Prime factors of 621 are 3 x 3 x 3 x 23

Prime factors of 699 are 3 x 233

Prime factors of 849 are 3 x 283

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

The highest common occurrence is 3¹

Therefore, GCD of 621, 699, 849, 960 is 3.

Given numbers are 621, 699, 849, 960

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

Apply this formula for all numbers.

Step1:

LCM(621, 699) = 144693

GCD(621, 699) = ( 621 x 699 ) / 144693

= 621 / 699

= 621

Step2:

LCM(3, 849) = 849

GCD(3, 849) = ( 3 x 849 ) / 849

= 3 / 849

= 3

Step3:

LCM(3, 960) = 960

GCD(3, 960) = ( 3 x 960 ) / 960

= 3 / 960

= 3

So, Greatest Common Divisor of 621, 699, 849, 960 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 392, 829, 395, 715
• GCD of 431, 490, 748, 648
• GCD of 174, 575, 999, 683
• GCD of 555, 812, 368, 130
• GCD of 202, 629, 698, 574

Given numbers are 621, 699, 849, 960
The greatest common divisor of numbers 621, 699, 849, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 621, 699, 849, 960 is 3.

1. What is the GCD of 621, 699, 849, 960?

GCD of given numbers 621, 699, 849, 960 is 3

2. How to calculate the greatest common divisor of 621, 699, 849, 960?

We can find the highest common divisor of 621, 699, 849, 960 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 621, 699, 849, 960 i.e 3.

3. How can I use the GCD of 621, 699, 849, 960Calculator?

Out the numbers 621, 699, 849, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.