GCD of 414, 650, 567, 792 Calculator

Given Input numbers are 414, 650, 567, 792

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

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

GCD of numbers is the greatest common divisor

So, the GCD (414, 650, 567, 792) = 1.

Given numbers are 414, 650, 567, 792

The list of prime factors of all numbers are

Prime factors of 414 are 2 x 3 x 3 x 23

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

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

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

Given numbers are 414, 650, 567, 792

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

Apply this formula for all numbers.

Step1:

LCM(414, 650) = 134550

GCD(414, 650) = ( 414 x 650 ) / 134550

= 414 / 650

= 414

Step2:

LCM(2, 567) = 1134

GCD(2, 567) = ( 2 x 567 ) / 1134

= 2 / 567

= 2

Step3:

LCM(1, 792) = 792

GCD(1, 792) = ( 1 x 792 ) / 792

= 1 / 792

= 1

So, Greatest Common Divisor of 414, 650, 567, 792 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 974, 971, 475, 441
• GCD of 249, 386, 974, 352
• GCD of 342, 665, 561, 154
• GCD of 542, 545, 894, 887
• GCD of 762, 314, 325, 812

Given numbers are 414, 650, 567, 792
The greatest common divisor of numbers 414, 650, 567, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 414, 650, 567, 792 is 1.

1. What is the GCD of 414, 650, 567, 792?

GCD of given numbers 414, 650, 567, 792 is 1

2. How to calculate the greatest common divisor of 414, 650, 567, 792?

We can find the highest common divisor of 414, 650, 567, 792 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 414, 650, 567, 792 i.e 1.

3. How can I use the GCD of 414, 650, 567, 792Calculator?

Out the numbers 414, 650, 567, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.