GCD of 642, 909, 572, 735 Calculator

Given Input numbers are 642, 909, 572, 735

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

Divisors of 642 :

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

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

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

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

GCD of numbers is the greatest common divisor

So, the GCD (642, 909, 572, 735) = 1.

Given numbers are 642, 909, 572, 735

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 909 are 3 x 3 x 101

Prime factors of 572 are 2 x 2 x 11 x 13

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

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

Given numbers are 642, 909, 572, 735

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

Apply this formula for all numbers.

Step1:

LCM(642, 909) = 194526

GCD(642, 909) = ( 642 x 909 ) / 194526

= 642 / 909

= 642

Step2:

LCM(3, 572) = 1716

GCD(3, 572) = ( 3 x 572 ) / 1716

= 3 / 572

= 3

Step3:

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

= 1 / 735

= 1

So, Greatest Common Divisor of 642, 909, 572, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 650, 916, 401, 690
• GCD of 258, 344, 312, 791
• GCD of 427, 712, 193, 827
• GCD of 313, 410, 806, 992
• GCD of 590, 345, 984, 333

Given numbers are 642, 909, 572, 735
The greatest common divisor of numbers 642, 909, 572, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 909, 572, 735 is 1.

1. What is the GCD of 642, 909, 572, 735?

GCD of given numbers 642, 909, 572, 735 is 1

2. How to calculate the greatest common divisor of 642, 909, 572, 735?

We can find the highest common divisor of 642, 909, 572, 735 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 642, 909, 572, 735 i.e 1.

3. How can I use the GCD of 642, 909, 572, 735Calculator?

Out the numbers 642, 909, 572, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.