GCD of 105, 424, 645, 402 Calculator

Given Input numbers are 105, 424, 645, 402

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

GCD of numbers is the greatest common divisor

So, the GCD (105, 424, 645, 402) = 1.

Given numbers are 105, 424, 645, 402

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 645 are 3 x 5 x 43

Prime factors of 402 are 2 x 3 x 67

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

Given numbers are 105, 424, 645, 402

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

Apply this formula for all numbers.

Step1:

LCM(105, 424) = 44520

GCD(105, 424) = ( 105 x 424 ) / 44520

= 105 / 424

= 105

Step2:

LCM(1, 645) = 645

GCD(1, 645) = ( 1 x 645 ) / 645

= 1 / 645

= 1

Step3:

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

= 1 / 402

= 1

So, Greatest Common Divisor of 105, 424, 645, 402 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 920, 189, 880, 189
• GCD of 477, 406, 559, 148
• GCD of 432, 494, 170, 529
• GCD of 309, 976, 379, 118
• GCD of 275, 444, 823, 461

Given numbers are 105, 424, 645, 402
The greatest common divisor of numbers 105, 424, 645, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 424, 645, 402 is 1.

1. What is the GCD of 105, 424, 645, 402?

GCD of given numbers 105, 424, 645, 402 is 1

2. How to calculate the greatest common divisor of 105, 424, 645, 402?

We can find the highest common divisor of 105, 424, 645, 402 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 105, 424, 645, 402 i.e 1.

3. How can I use the GCD of 105, 424, 645, 402Calculator?

Out the numbers 105, 424, 645, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.