GCD of 711, 108, 561, 465 Calculator

Given Input numbers are 711, 108, 561, 465

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

Divisors of 711 :

The positive integer divisors of 711 that completely divides 711 are.

1, 3, 9, 79, 237, 711

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

GCD of numbers is the greatest common divisor

So, the GCD (711, 108, 561, 465) = 3.

Given numbers are 711, 108, 561, 465

The list of prime factors of all numbers are

Prime factors of 711 are 3 x 3 x 79

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 561 are 3 x 11 x 17

Prime factors of 465 are 3 x 5 x 31

The highest common occurrence is 3¹

Therefore, GCD of 711, 108, 561, 465 is 3.

Given numbers are 711, 108, 561, 465

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

Apply this formula for all numbers.

Step1:

LCM(711, 108) = 8532

GCD(711, 108) = ( 711 x 108 ) / 8532

= 711 / 108

= 711

Step2:

LCM(9, 561) = 1683

GCD(9, 561) = ( 9 x 561 ) / 1683

= 9 / 561

= 9

Step3:

LCM(3, 465) = 465

GCD(3, 465) = ( 3 x 465 ) / 465

= 3 / 465

= 3

So, Greatest Common Divisor of 711, 108, 561, 465 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 471, 691, 320, 806
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Given numbers are 711, 108, 561, 465
The greatest common divisor of numbers 711, 108, 561, 465 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 711, 108, 561, 465 is 3.

1. What is the GCD of 711, 108, 561, 465?

GCD of given numbers 711, 108, 561, 465 is 3

2. How to calculate the greatest common divisor of 711, 108, 561, 465?

We can find the highest common divisor of 711, 108, 561, 465 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 711, 108, 561, 465 i.e 3.

3. How can I use the GCD of 711, 108, 561, 465Calculator?

Out the numbers 711, 108, 561, 465 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.