GCD of 966, 916, 340, 178 Calculator

Given Input numbers are 966, 916, 340, 178

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 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

GCD of numbers is the greatest common divisor

So, the GCD (966, 916, 340, 178) = 2.

Given numbers are 966, 916, 340, 178

The list of prime factors of all numbers are

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

Prime factors of 916 are 2 x 2 x 229

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 178 are 2 x 89

The highest common occurrence is 2¹

Therefore, GCD of 966, 916, 340, 178 is 2.

Given numbers are 966, 916, 340, 178

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

Apply this formula for all numbers.

Step1:

LCM(966, 916) = 442428

GCD(966, 916) = ( 966 x 916 ) / 442428

= 966 / 916

= 966

Step2:

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

= 2 / 340

= 2

Step3:

LCM(2, 178) = 178

GCD(2, 178) = ( 2 x 178 ) / 178

= 2 / 178

= 2

So, Greatest Common Divisor of 966, 916, 340, 178 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 558, 580, 849, 568
• GCD of 916, 771, 882, 501
• GCD of 375, 866, 944, 953
• GCD of 939, 118, 979, 358
• GCD of 263, 737, 255, 481

Given numbers are 966, 916, 340, 178
The greatest common divisor of numbers 966, 916, 340, 178 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 916, 340, 178 is 2.

1. What is the GCD of 966, 916, 340, 178?

GCD of given numbers 966, 916, 340, 178 is 2

2. How to calculate the greatest common divisor of 966, 916, 340, 178?

We can find the highest common divisor of 966, 916, 340, 178 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, 916, 340, 178 i.e 2.

3. How can I use the GCD of 966, 916, 340, 178Calculator?

Out the numbers 966, 916, 340, 178 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.