GCD of 574, 840, 135, 225 Calculator

Given Input numbers are 574, 840, 135, 225

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 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 135 :

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

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

Divisors of 225 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (574, 840, 135, 225) = 1.

Given numbers are 574, 840, 135, 225

The list of prime factors of all numbers are

Prime factors of 574 are 2 x 7 x 41

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

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

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

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

Given numbers are 574, 840, 135, 225

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

Apply this formula for all numbers.

Step1:

LCM(574, 840) = 34440

GCD(574, 840) = ( 574 x 840 ) / 34440

= 574 / 840

= 574

Step2:

LCM(14, 135) = 1890

GCD(14, 135) = ( 14 x 135 ) / 1890

= 14 / 135

= 14

Step3:

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

= 1 / 225

= 1

So, Greatest Common Divisor of 574, 840, 135, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 660, 170, 491, 206
• GCD of 953, 888, 826, 311
• GCD of 914, 728, 966, 118
• GCD of 377, 384, 456, 165
• GCD of 478, 335, 582, 428

Given numbers are 574, 840, 135, 225
The greatest common divisor of numbers 574, 840, 135, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 574, 840, 135, 225 is 1.

1. What is the GCD of 574, 840, 135, 225?

GCD of given numbers 574, 840, 135, 225 is 1

2. How to calculate the greatest common divisor of 574, 840, 135, 225?

We can find the highest common divisor of 574, 840, 135, 225 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, 840, 135, 225 i.e 1.

3. How can I use the GCD of 574, 840, 135, 225Calculator?

Out the numbers 574, 840, 135, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.