GCD of 690, 780, 792, 224 Calculator

Given Input numbers are 690, 780, 792, 224

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

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

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

GCD of numbers is the greatest common divisor

So, the GCD (690, 780, 792, 224) = 2.

Given numbers are 690, 780, 792, 224

The list of prime factors of all numbers are

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

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

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 690, 780, 792, 224 is 2.

Given numbers are 690, 780, 792, 224

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

Apply this formula for all numbers.

Step1:

LCM(690, 780) = 17940

GCD(690, 780) = ( 690 x 780 ) / 17940

= 690 / 780

= 690

Step2:

LCM(30, 792) = 3960

GCD(30, 792) = ( 30 x 792 ) / 3960

= 30 / 792

= 30

Step3:

LCM(6, 224) = 672

GCD(6, 224) = ( 6 x 224 ) / 672

= 6 / 224

= 6

So, Greatest Common Divisor of 690, 780, 792, 224 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 450, 785, 975, 809
• GCD of 814, 662, 754, 324
• GCD of 669, 377, 405, 947
• GCD of 137, 193, 566, 553
• GCD of 390, 106, 326, 691

Given numbers are 690, 780, 792, 224
The greatest common divisor of numbers 690, 780, 792, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 780, 792, 224 is 2.

1. What is the GCD of 690, 780, 792, 224?

GCD of given numbers 690, 780, 792, 224 is 2

2. How to calculate the greatest common divisor of 690, 780, 792, 224?

We can find the highest common divisor of 690, 780, 792, 224 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 690, 780, 792, 224 i.e 2.

3. How can I use the GCD of 690, 780, 792, 224Calculator?

Out the numbers 690, 780, 792, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.