GCD of 300, 245, 126, 540 Calculator

Given Input numbers are 300, 245, 126, 540

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

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 245 :

The positive integer divisors of 245 that completely divides 245 are.

1, 5, 7, 35, 49, 245

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

GCD of numbers is the greatest common divisor

So, the GCD (300, 245, 126, 540) = 1.

Given numbers are 300, 245, 126, 540

The list of prime factors of all numbers are

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

Prime factors of 245 are 5 x 7 x 7

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

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

Given numbers are 300, 245, 126, 540

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

Apply this formula for all numbers.

Step1:

LCM(300, 245) = 14700

GCD(300, 245) = ( 300 x 245 ) / 14700

= 300 / 245

= 300

Step2:

LCM(5, 126) = 630

GCD(5, 126) = ( 5 x 126 ) / 630

= 5 / 126

= 5

Step3:

LCM(1, 540) = 540

GCD(1, 540) = ( 1 x 540 ) / 540

= 1 / 540

= 1

So, Greatest Common Divisor of 300, 245, 126, 540 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 746, 333, 245, 854
• GCD of 549, 491, 139, 749
• GCD of 829, 963, 183, 894
• GCD of 501, 850, 513, 238
• GCD of 207, 361, 514, 418

Given numbers are 300, 245, 126, 540
The greatest common divisor of numbers 300, 245, 126, 540 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 245, 126, 540 is 1.

1. What is the GCD of 300, 245, 126, 540?

GCD of given numbers 300, 245, 126, 540 is 1

2. How to calculate the greatest common divisor of 300, 245, 126, 540?

We can find the highest common divisor of 300, 245, 126, 540 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 300, 245, 126, 540 i.e 1.

3. How can I use the GCD of 300, 245, 126, 540Calculator?

Out the numbers 300, 245, 126, 540 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.