GCD of 660, 567, 735, 477 Calculator

Given Input numbers are 660, 567, 735, 477

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

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

GCD of numbers is the greatest common divisor

So, the GCD (660, 567, 735, 477) = 3.

Given numbers are 660, 567, 735, 477

The list of prime factors of all numbers are

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 477 are 3 x 3 x 53

The highest common occurrence is 3¹

Therefore, GCD of 660, 567, 735, 477 is 3.

Given numbers are 660, 567, 735, 477

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

Apply this formula for all numbers.

Step1:

LCM(660, 567) = 124740

GCD(660, 567) = ( 660 x 567 ) / 124740

= 660 / 567

= 660

Step2:

LCM(3, 735) = 735

GCD(3, 735) = ( 3 x 735 ) / 735

= 3 / 735

= 3

Step3:

LCM(3, 477) = 477

GCD(3, 477) = ( 3 x 477 ) / 477

= 3 / 477

= 3

So, Greatest Common Divisor of 660, 567, 735, 477 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 503, 929, 453, 623
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Given numbers are 660, 567, 735, 477
The greatest common divisor of numbers 660, 567, 735, 477 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 567, 735, 477 is 3.

1. What is the GCD of 660, 567, 735, 477?

GCD of given numbers 660, 567, 735, 477 is 3

2. How to calculate the greatest common divisor of 660, 567, 735, 477?

We can find the highest common divisor of 660, 567, 735, 477 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 660, 567, 735, 477 i.e 3.

3. How can I use the GCD of 660, 567, 735, 477Calculator?

Out the numbers 660, 567, 735, 477 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.