GCD of 225, 355, 509, 741 Calculator

Given Input numbers are 225, 355, 509, 741

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

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

GCD of numbers is the greatest common divisor

So, the GCD (225, 355, 509, 741) = 1.

Given numbers are 225, 355, 509, 741

The list of prime factors of all numbers are

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 355 are 5 x 71

Prime factors of 509 are 509

Prime factors of 741 are 3 x 13 x 19

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

Given numbers are 225, 355, 509, 741

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

Apply this formula for all numbers.

Step1:

LCM(225, 355) = 15975

GCD(225, 355) = ( 225 x 355 ) / 15975

= 225 / 355

= 225

Step2:

LCM(5, 509) = 2545

GCD(5, 509) = ( 5 x 509 ) / 2545

= 5 / 509

= 5

Step3:

LCM(1, 741) = 741

GCD(1, 741) = ( 1 x 741 ) / 741

= 1 / 741

= 1

So, Greatest Common Divisor of 225, 355, 509, 741 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 296, 944, 318, 857
• GCD of 644, 337, 241, 887
• GCD of 494, 860, 482, 811
• GCD of 611, 458, 984, 179
• GCD of 302, 493, 190, 424

Given numbers are 225, 355, 509, 741
The greatest common divisor of numbers 225, 355, 509, 741 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 355, 509, 741 is 1.

1. What is the GCD of 225, 355, 509, 741?

GCD of given numbers 225, 355, 509, 741 is 1

2. How to calculate the greatest common divisor of 225, 355, 509, 741?

We can find the highest common divisor of 225, 355, 509, 741 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 225, 355, 509, 741 i.e 1.

3. How can I use the GCD of 225, 355, 509, 741Calculator?

Out the numbers 225, 355, 509, 741 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.