GCD of 980, 468, 360, 966 Calculator

Given Input numbers are 980, 468, 360, 966

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

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

GCD of numbers is the greatest common divisor

So, the GCD (980, 468, 360, 966) = 2.

Given numbers are 980, 468, 360, 966

The list of prime factors of all numbers are

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 966 are 2 x 3 x 7 x 23

The highest common occurrence is 2¹

Therefore, GCD of 980, 468, 360, 966 is 2.

Given numbers are 980, 468, 360, 966

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

Apply this formula for all numbers.

Step1:

LCM(980, 468) = 114660

GCD(980, 468) = ( 980 x 468 ) / 114660

= 980 / 468

= 980

Step2:

LCM(4, 360) = 360

GCD(4, 360) = ( 4 x 360 ) / 360

= 4 / 360

= 4

Step3:

LCM(4, 966) = 1932

GCD(4, 966) = ( 4 x 966 ) / 1932

= 4 / 966

= 4

So, Greatest Common Divisor of 980, 468, 360, 966 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 433, 473, 397, 868
• GCD of 666, 973, 954, 481
• GCD of 551, 657, 477, 268
• GCD of 149, 468, 734, 156
• GCD of 342, 109, 612, 574

Given numbers are 980, 468, 360, 966
The greatest common divisor of numbers 980, 468, 360, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 468, 360, 966 is 2.

1. What is the GCD of 980, 468, 360, 966?

GCD of given numbers 980, 468, 360, 966 is 2

2. How to calculate the greatest common divisor of 980, 468, 360, 966?

We can find the highest common divisor of 980, 468, 360, 966 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 980, 468, 360, 966 i.e 2.

3. How can I use the GCD of 980, 468, 360, 966Calculator?

Out the numbers 980, 468, 360, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.