GCD of 902, 472, 605, 462 Calculator

Given Input numbers are 902, 472, 605, 462

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

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 605 :

The positive integer divisors of 605 that completely divides 605 are.

1, 5, 11, 55, 121, 605

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

GCD of numbers is the greatest common divisor

So, the GCD (902, 472, 605, 462) = 1.

Given numbers are 902, 472, 605, 462

The list of prime factors of all numbers are

Prime factors of 902 are 2 x 11 x 41

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 605 are 5 x 11 x 11

Prime factors of 462 are 2 x 3 x 7 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 902, 472, 605, 462

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

Apply this formula for all numbers.

Step1:

LCM(902, 472) = 212872

GCD(902, 472) = ( 902 x 472 ) / 212872

= 902 / 472

= 902

Step2:

LCM(2, 605) = 1210

GCD(2, 605) = ( 2 x 605 ) / 1210

= 2 / 605

= 2

Step3:

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

= 1 / 462

= 1

So, Greatest Common Divisor of 902, 472, 605, 462 is 1

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Given numbers are 902, 472, 605, 462
The greatest common divisor of numbers 902, 472, 605, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 902, 472, 605, 462 is 1.

1. What is the GCD of 902, 472, 605, 462?

GCD of given numbers 902, 472, 605, 462 is 1

2. How to calculate the greatest common divisor of 902, 472, 605, 462?

We can find the highest common divisor of 902, 472, 605, 462 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 902, 472, 605, 462 i.e 1.

3. How can I use the GCD of 902, 472, 605, 462Calculator?

Out the numbers 902, 472, 605, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.