GCD of 735, 106, 422 Calculator

Given Input numbers are 735, 106, 422

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

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 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

GCD of numbers is the greatest common divisor

So, the GCD (735, 106, 422) = 1.

Given numbers are 735, 106, 422

The list of prime factors of all numbers are

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

Prime factors of 106 are 2 x 53

Prime factors of 422 are 2 x 211

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

Given numbers are 735, 106, 422

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

Apply this formula for all numbers.

Step1:

LCM(735, 106) = 77910

GCD(735, 106) = ( 735 x 106 ) / 77910

= 735 / 106

= 735

Step2:

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

= 1 / 422

= 1

So, Greatest Common Divisor of 735, 106, 422 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 779, 536, 600
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Given numbers are 735, 106, 422
The greatest common divisor of numbers 735, 106, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 106, 422 is 1.

1. What is the GCD of 735, 106, 422?

GCD of given numbers 735, 106, 422 is 1

2. How to calculate the greatest common divisor of 735, 106, 422?

We can find the highest common divisor of 735, 106, 422 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 735, 106, 422 i.e 1.

3. How can I use the GCD of 735, 106, 422Calculator?

Out the numbers 735, 106, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.