GCD of 165, 471, 771 Calculator

Given Input numbers are 165, 471, 771

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

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

GCD of numbers is the greatest common divisor

So, the GCD (165, 471, 771) = 3.

Given numbers are 165, 471, 771

The list of prime factors of all numbers are

Prime factors of 165 are 3 x 5 x 11

Prime factors of 471 are 3 x 157

Prime factors of 771 are 3 x 257

The highest common occurrence is 3¹

Therefore, GCD of 165, 471, 771 is 3.

Given numbers are 165, 471, 771

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

Apply this formula for all numbers.

Step1:

LCM(165, 471) = 25905

GCD(165, 471) = ( 165 x 471 ) / 25905

= 165 / 471

= 165

Step2:

LCM(3, 771) = 771

GCD(3, 771) = ( 3 x 771 ) / 771

= 3 / 771

= 3

So, Greatest Common Divisor of 165, 471, 771 is 3

Here are some samples of GCD of Numbers calculations.

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Given numbers are 165, 471, 771
The greatest common divisor of numbers 165, 471, 771 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 471, 771 is 3.

1. What is the GCD of 165, 471, 771?

GCD of given numbers 165, 471, 771 is 3

2. How to calculate the greatest common divisor of 165, 471, 771?

We can find the highest common divisor of 165, 471, 771 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 165, 471, 771 i.e 3.

3. How can I use the GCD of 165, 471, 771Calculator?

Out the numbers 165, 471, 771 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.