GCD of 574, 730, 420, 135 Calculator

Given Input numbers are 574, 730, 420, 135

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

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

GCD of numbers is the greatest common divisor

So, the GCD (574, 730, 420, 135) = 1.

Given numbers are 574, 730, 420, 135

The list of prime factors of all numbers are

Prime factors of 574 are 2 x 7 x 41

Prime factors of 730 are 2 x 5 x 73

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 135 are 3 x 3 x 3 x 5

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

Given numbers are 574, 730, 420, 135

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

Apply this formula for all numbers.

Step1:

LCM(574, 730) = 209510

GCD(574, 730) = ( 574 x 730 ) / 209510

= 574 / 730

= 574

Step2:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

Step3:

LCM(2, 135) = 270

GCD(2, 135) = ( 2 x 135 ) / 270

= 2 / 135

= 2

So, Greatest Common Divisor of 574, 730, 420, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 984, 230, 536, 139
• GCD of 417, 176, 724, 986
• GCD of 760, 567, 934, 340
• GCD of 863, 460, 340, 140
• GCD of 723, 128, 825, 407

Given numbers are 574, 730, 420, 135
The greatest common divisor of numbers 574, 730, 420, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 574, 730, 420, 135 is 1.

1. What is the GCD of 574, 730, 420, 135?

GCD of given numbers 574, 730, 420, 135 is 1

2. How to calculate the greatest common divisor of 574, 730, 420, 135?

We can find the highest common divisor of 574, 730, 420, 135 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 574, 730, 420, 135 i.e 1.

3. How can I use the GCD of 574, 730, 420, 135Calculator?

Out the numbers 574, 730, 420, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.