GCD of 966, 746, 188, 986 Calculator

Given Input numbers are 966, 746, 188, 986

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 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

GCD of numbers is the greatest common divisor

So, the GCD (966, 746, 188, 986) = 2.

Given numbers are 966, 746, 188, 986

The list of prime factors of all numbers are

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

Prime factors of 746 are 2 x 373

Prime factors of 188 are 2 x 2 x 47

Prime factors of 986 are 2 x 17 x 29

The highest common occurrence is 2¹

Therefore, GCD of 966, 746, 188, 986 is 2.

Given numbers are 966, 746, 188, 986

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

Apply this formula for all numbers.

Step1:

LCM(966, 746) = 360318

GCD(966, 746) = ( 966 x 746 ) / 360318

= 966 / 746

= 966

Step2:

LCM(2, 188) = 188

GCD(2, 188) = ( 2 x 188 ) / 188

= 2 / 188

= 2

Step3:

LCM(2, 986) = 986

GCD(2, 986) = ( 2 x 986 ) / 986

= 2 / 986

= 2

So, Greatest Common Divisor of 966, 746, 188, 986 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 787, 804, 967, 854
• GCD of 295, 120, 972, 161
• GCD of 551, 517, 807, 397
• GCD of 163, 502, 107, 861
• GCD of 276, 272, 725, 431

Given numbers are 966, 746, 188, 986
The greatest common divisor of numbers 966, 746, 188, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 746, 188, 986 is 2.

1. What is the GCD of 966, 746, 188, 986?

GCD of given numbers 966, 746, 188, 986 is 2

2. How to calculate the greatest common divisor of 966, 746, 188, 986?

We can find the highest common divisor of 966, 746, 188, 986 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, 746, 188, 986 i.e 2.

3. How can I use the GCD of 966, 746, 188, 986Calculator?

Out the numbers 966, 746, 188, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.