GCD of 300, 565, 60, 267 Calculator

Given Input numbers are 300, 565, 60, 267

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 565 :

The positive integer divisors of 565 that completely divides 565 are.

1, 5, 113, 565

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

GCD of numbers is the greatest common divisor

So, the GCD (300, 565, 60, 267) = 1.

Given numbers are 300, 565, 60, 267

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 565 are 5 x 113

Prime factors of 60 are 2 x 2 x 3 x 5

Prime factors of 267 are 3 x 89

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

Given numbers are 300, 565, 60, 267

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

Apply this formula for all numbers.

Step1:

LCM(300, 565) = 33900

GCD(300, 565) = ( 300 x 565 ) / 33900

= 300 / 565

= 300

Step2:

LCM(5, 60) = 60

GCD(5, 60) = ( 5 x 60 ) / 60

= 5 / 60

= 5

Step3:

LCM(5, 267) = 1335

GCD(5, 267) = ( 5 x 267 ) / 1335

= 5 / 267

= 5

So, Greatest Common Divisor of 300, 565, 60, 267 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 397, 399, 54, 901
• GCD of 840, 513, 22, 372
• GCD of 309, 516, 24, 103
• GCD of 103, 988, 37, 520
• GCD of 925, 749, 33, 113

Given numbers are 300, 565, 60, 267
The greatest common divisor of numbers 300, 565, 60, 267 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 565, 60, 267 is 1.

1. What is the GCD of 300, 565, 60, 267?

GCD of given numbers 300, 565, 60, 267 is 1

2. How to calculate the greatest common divisor of 300, 565, 60, 267?

We can find the highest common divisor of 300, 565, 60, 267 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, 565, 60, 267 i.e 1.

3. How can I use the GCD of 300, 565, 60, 267Calculator?

Out the numbers 300, 565, 60, 267 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.