GCD of 660, 966, 686, 890 Calculator

Given Input numbers are 660, 966, 686, 890

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

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

GCD of numbers is the greatest common divisor

So, the GCD (660, 966, 686, 890) = 2.

Given numbers are 660, 966, 686, 890

The list of prime factors of all numbers are

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

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

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 890 are 2 x 5 x 89

The highest common occurrence is 2¹

Therefore, GCD of 660, 966, 686, 890 is 2.

Given numbers are 660, 966, 686, 890

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

Apply this formula for all numbers.

Step1:

LCM(660, 966) = 106260

GCD(660, 966) = ( 660 x 966 ) / 106260

= 660 / 966

= 660

Step2:

LCM(6, 686) = 2058

GCD(6, 686) = ( 6 x 686 ) / 2058

= 6 / 686

= 6

Step3:

LCM(2, 890) = 890

GCD(2, 890) = ( 2 x 890 ) / 890

= 2 / 890

= 2

So, Greatest Common Divisor of 660, 966, 686, 890 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 577, 941, 498, 657
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• GCD of 275, 527, 279, 492
• GCD of 621, 980, 772, 750

Given numbers are 660, 966, 686, 890
The greatest common divisor of numbers 660, 966, 686, 890 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 966, 686, 890 is 2.

1. What is the GCD of 660, 966, 686, 890?

GCD of given numbers 660, 966, 686, 890 is 2

2. How to calculate the greatest common divisor of 660, 966, 686, 890?

We can find the highest common divisor of 660, 966, 686, 890 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 660, 966, 686, 890 i.e 2.

3. How can I use the GCD of 660, 966, 686, 890Calculator?

Out the numbers 660, 966, 686, 890 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.