GCD of 274, 650, 45, 324 Calculator

Given Input numbers are 274, 650, 45, 324

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

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 45 :

The positive integer divisors of 45 that completely divides 45 are.

1, 3, 5, 9, 15, 45

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

GCD of numbers is the greatest common divisor

So, the GCD (274, 650, 45, 324) = 1.

Given numbers are 274, 650, 45, 324

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 45 are 3 x 3 x 5

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

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

Given numbers are 274, 650, 45, 324

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

Apply this formula for all numbers.

Step1:

LCM(274, 650) = 89050

GCD(274, 650) = ( 274 x 650 ) / 89050

= 274 / 650

= 274

Step2:

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

= 2 / 45

= 2

Step3:

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

= 1 / 324

= 1

So, Greatest Common Divisor of 274, 650, 45, 324 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 110, 596, 80, 304
• GCD of 588, 955, 67, 971
• GCD of 598, 499, 58, 435
• GCD of 891, 646, 97, 974
• GCD of 538, 449, 74, 493

Given numbers are 274, 650, 45, 324
The greatest common divisor of numbers 274, 650, 45, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 650, 45, 324 is 1.

1. What is the GCD of 274, 650, 45, 324?

GCD of given numbers 274, 650, 45, 324 is 1

2. How to calculate the greatest common divisor of 274, 650, 45, 324?

We can find the highest common divisor of 274, 650, 45, 324 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 274, 650, 45, 324 i.e 1.

3. How can I use the GCD of 274, 650, 45, 324Calculator?

Out the numbers 274, 650, 45, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.