GCD of 966, 990, 692, 138 Calculator

Given Input numbers are 966, 990, 692, 138

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

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 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 138 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (966, 990, 692, 138) = 2.

Given numbers are 966, 990, 692, 138

The list of prime factors of all numbers are

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

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 692 are 2 x 2 x 173

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 966, 990, 692, 138 is 2.

Given numbers are 966, 990, 692, 138

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

Apply this formula for all numbers.

Step1:

LCM(966, 990) = 159390

GCD(966, 990) = ( 966 x 990 ) / 159390

= 966 / 990

= 966

Step2:

LCM(6, 692) = 2076

GCD(6, 692) = ( 6 x 692 ) / 2076

= 6 / 692

= 6

Step3:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

So, Greatest Common Divisor of 966, 990, 692, 138 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 928, 526, 660, 107
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Given numbers are 966, 990, 692, 138
The greatest common divisor of numbers 966, 990, 692, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 990, 692, 138 is 2.

1. What is the GCD of 966, 990, 692, 138?

GCD of given numbers 966, 990, 692, 138 is 2

2. How to calculate the greatest common divisor of 966, 990, 692, 138?

We can find the highest common divisor of 966, 990, 692, 138 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 966, 990, 692, 138 i.e 2.

3. How can I use the GCD of 966, 990, 692, 138Calculator?

Out the numbers 966, 990, 692, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.