GCD of 423, 105, 524, 642 Calculator

Given Input numbers are 423, 105, 524, 642

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

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

Divisors of 105 :

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

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

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

GCD of numbers is the greatest common divisor

So, the GCD (423, 105, 524, 642) = 1.

Given numbers are 423, 105, 524, 642

The list of prime factors of all numbers are

Prime factors of 423 are 3 x 3 x 47

Prime factors of 105 are 3 x 5 x 7

Prime factors of 524 are 2 x 2 x 131

Prime factors of 642 are 2 x 3 x 107

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

Given numbers are 423, 105, 524, 642

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

Apply this formula for all numbers.

Step1:

LCM(423, 105) = 14805

GCD(423, 105) = ( 423 x 105 ) / 14805

= 423 / 105

= 423

Step2:

LCM(3, 524) = 1572

GCD(3, 524) = ( 3 x 524 ) / 1572

= 3 / 524

= 3

Step3:

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

= 1 / 642

= 1

So, Greatest Common Divisor of 423, 105, 524, 642 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 339, 194, 468, 801
• GCD of 926, 707, 175, 850
• GCD of 396, 379, 675, 635
• GCD of 472, 654, 437, 898
• GCD of 565, 802, 289, 614

Given numbers are 423, 105, 524, 642
The greatest common divisor of numbers 423, 105, 524, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 423, 105, 524, 642 is 1.

1. What is the GCD of 423, 105, 524, 642?

GCD of given numbers 423, 105, 524, 642 is 1

2. How to calculate the greatest common divisor of 423, 105, 524, 642?

We can find the highest common divisor of 423, 105, 524, 642 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 423, 105, 524, 642 i.e 1.

3. How can I use the GCD of 423, 105, 524, 642Calculator?

Out the numbers 423, 105, 524, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.