GCD of 425, 360, 300, 231 Calculator

Given Input numbers are 425, 360, 300, 231

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

Divisors of 425 :

The positive integer divisors of 425 that completely divides 425 are.

1, 5, 17, 25, 85, 425

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

GCD of numbers is the greatest common divisor

So, the GCD (425, 360, 300, 231) = 1.

Given numbers are 425, 360, 300, 231

The list of prime factors of all numbers are

Prime factors of 425 are 5 x 5 x 17

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 231 are 3 x 7 x 11

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

Given numbers are 425, 360, 300, 231

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

Apply this formula for all numbers.

Step1:

LCM(425, 360) = 30600

GCD(425, 360) = ( 425 x 360 ) / 30600

= 425 / 360

= 425

Step2:

LCM(5, 300) = 300

GCD(5, 300) = ( 5 x 300 ) / 300

= 5 / 300

= 5

Step3:

LCM(5, 231) = 1155

GCD(5, 231) = ( 5 x 231 ) / 1155

= 5 / 231

= 5

So, Greatest Common Divisor of 425, 360, 300, 231 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 754, 954, 168, 631
• GCD of 753, 761, 267, 187
• GCD of 173, 879, 929, 341
• GCD of 826, 484, 972, 106
• GCD of 690, 118, 624, 936

Given numbers are 425, 360, 300, 231
The greatest common divisor of numbers 425, 360, 300, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 425, 360, 300, 231 is 1.

1. What is the GCD of 425, 360, 300, 231?

GCD of given numbers 425, 360, 300, 231 is 1

2. How to calculate the greatest common divisor of 425, 360, 300, 231?

We can find the highest common divisor of 425, 360, 300, 231 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 425, 360, 300, 231 i.e 1.

3. How can I use the GCD of 425, 360, 300, 231Calculator?

Out the numbers 425, 360, 300, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.