GCD of 742, 572, 428, 205 Calculator

Given Input numbers are 742, 572, 428, 205

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

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 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

GCD of numbers is the greatest common divisor

So, the GCD (742, 572, 428, 205) = 1.

Given numbers are 742, 572, 428, 205

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

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

Prime factors of 428 are 2 x 2 x 107

Prime factors of 205 are 5 x 41

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

Given numbers are 742, 572, 428, 205

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

Apply this formula for all numbers.

Step1:

LCM(742, 572) = 212212

GCD(742, 572) = ( 742 x 572 ) / 212212

= 742 / 572

= 742

Step2:

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

= 2 / 428

= 2

Step3:

LCM(2, 205) = 410

GCD(2, 205) = ( 2 x 205 ) / 410

= 2 / 205

= 2

So, Greatest Common Divisor of 742, 572, 428, 205 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 202, 948, 572, 167
• GCD of 516, 152, 219, 380
• GCD of 200, 972, 465, 287
• GCD of 608, 398, 801, 767
• GCD of 976, 119, 725, 645

Given numbers are 742, 572, 428, 205
The greatest common divisor of numbers 742, 572, 428, 205 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 572, 428, 205 is 1.

1. What is the GCD of 742, 572, 428, 205?

GCD of given numbers 742, 572, 428, 205 is 1

2. How to calculate the greatest common divisor of 742, 572, 428, 205?

We can find the highest common divisor of 742, 572, 428, 205 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 742, 572, 428, 205 i.e 1.

3. How can I use the GCD of 742, 572, 428, 205Calculator?

Out the numbers 742, 572, 428, 205 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.