GCD of 116, 970, 182, 162 Calculator

Given Input numbers are 116, 970, 182, 162

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

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

GCD of numbers is the greatest common divisor

So, the GCD (116, 970, 182, 162) = 2.

Given numbers are 116, 970, 182, 162

The list of prime factors of all numbers are

Prime factors of 116 are 2 x 2 x 29

Prime factors of 970 are 2 x 5 x 97

Prime factors of 182 are 2 x 7 x 13

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 116, 970, 182, 162 is 2.

Given numbers are 116, 970, 182, 162

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

Apply this formula for all numbers.

Step1:

LCM(116, 970) = 56260

GCD(116, 970) = ( 116 x 970 ) / 56260

= 116 / 970

= 116

Step2:

LCM(2, 182) = 182

GCD(2, 182) = ( 2 x 182 ) / 182

= 2 / 182

= 2

Step3:

LCM(2, 162) = 162

GCD(2, 162) = ( 2 x 162 ) / 162

= 2 / 162

= 2

So, Greatest Common Divisor of 116, 970, 182, 162 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 437, 299, 837, 335
• GCD of 720, 207, 530, 315
• GCD of 287, 219, 511, 896
• GCD of 552, 610, 990, 537
• GCD of 281, 719, 303, 760

Given numbers are 116, 970, 182, 162
The greatest common divisor of numbers 116, 970, 182, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 970, 182, 162 is 2.

1. What is the GCD of 116, 970, 182, 162?

GCD of given numbers 116, 970, 182, 162 is 2

2. How to calculate the greatest common divisor of 116, 970, 182, 162?

We can find the highest common divisor of 116, 970, 182, 162 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 116, 970, 182, 162 i.e 2.

3. How can I use the GCD of 116, 970, 182, 162Calculator?

Out the numbers 116, 970, 182, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.