GCD of 477, 759, 102 Calculator

Given Input numbers are 477, 759, 102

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

Divisors of 477 :

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

1, 3, 9, 53, 159, 477

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

GCD of numbers is the greatest common divisor

So, the GCD (477, 759, 102) = 3.

Given numbers are 477, 759, 102

The list of prime factors of all numbers are

Prime factors of 477 are 3 x 3 x 53

Prime factors of 759 are 3 x 11 x 23

Prime factors of 102 are 2 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 477, 759, 102 is 3.

Given numbers are 477, 759, 102

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

Apply this formula for all numbers.

Step1:

LCM(477, 759) = 120681

GCD(477, 759) = ( 477 x 759 ) / 120681

= 477 / 759

= 477

Step2:

LCM(3, 102) = 102

GCD(3, 102) = ( 3 x 102 ) / 102

= 3 / 102

= 3

So, Greatest Common Divisor of 477, 759, 102 is 3

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Given numbers are 477, 759, 102
The greatest common divisor of numbers 477, 759, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 477, 759, 102 is 3.

1. What is the GCD of 477, 759, 102?

GCD of given numbers 477, 759, 102 is 3

2. How to calculate the greatest common divisor of 477, 759, 102?

We can find the highest common divisor of 477, 759, 102 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 477, 759, 102 i.e 3.

3. How can I use the GCD of 477, 759, 102Calculator?

Out the numbers 477, 759, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.