GCD of 177, 765, 969, 162 Calculator

Given Input numbers are 177, 765, 969, 162

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

Divisors of 177 :

The positive integer divisors of 177 that completely divides 177 are.

1, 3, 59, 177

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

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 (177, 765, 969, 162) = 3.

Given numbers are 177, 765, 969, 162

The list of prime factors of all numbers are

Prime factors of 177 are 3 x 59

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 969 are 3 x 17 x 19

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

The highest common occurrence is 3¹

Therefore, GCD of 177, 765, 969, 162 is 3.

Given numbers are 177, 765, 969, 162

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

Apply this formula for all numbers.

Step1:

LCM(177, 765) = 45135

GCD(177, 765) = ( 177 x 765 ) / 45135

= 177 / 765

= 177

Step2:

LCM(3, 969) = 969

GCD(3, 969) = ( 3 x 969 ) / 969

= 3 / 969

= 3

Step3:

LCM(3, 162) = 162

GCD(3, 162) = ( 3 x 162 ) / 162

= 3 / 162

= 3

So, Greatest Common Divisor of 177, 765, 969, 162 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 275, 873, 873, 698
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• GCD of 888, 391, 435, 425

Given numbers are 177, 765, 969, 162
The greatest common divisor of numbers 177, 765, 969, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 177, 765, 969, 162 is 3.

1. What is the GCD of 177, 765, 969, 162?

GCD of given numbers 177, 765, 969, 162 is 3

2. How to calculate the greatest common divisor of 177, 765, 969, 162?

We can find the highest common divisor of 177, 765, 969, 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 177, 765, 969, 162 i.e 3.

3. How can I use the GCD of 177, 765, 969, 162Calculator?

Out the numbers 177, 765, 969, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.