GCD of 690, 678, 924, 420 Calculator

Given Input numbers are 690, 678, 924, 420

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 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (690, 678, 924, 420) = 6.

Given numbers are 690, 678, 924, 420

The list of prime factors of all numbers are

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

Prime factors of 678 are 2 x 3 x 113

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 690, 678, 924, 420 is 6.

Given numbers are 690, 678, 924, 420

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

Apply this formula for all numbers.

Step1:

LCM(690, 678) = 77970

GCD(690, 678) = ( 690 x 678 ) / 77970

= 690 / 678

= 690

Step2:

LCM(6, 924) = 924

GCD(6, 924) = ( 6 x 924 ) / 924

= 6 / 924

= 6

Step3:

LCM(6, 420) = 420

GCD(6, 420) = ( 6 x 420 ) / 420

= 6 / 420

= 6

So, Greatest Common Divisor of 690, 678, 924, 420 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 109, 707, 422, 682
• GCD of 298, 902, 768, 124
• GCD of 590, 710, 285, 450
• GCD of 327, 552, 461, 902
• GCD of 134, 390, 297, 852

Given numbers are 690, 678, 924, 420
The greatest common divisor of numbers 690, 678, 924, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 678, 924, 420 is 6.

1. What is the GCD of 690, 678, 924, 420?

GCD of given numbers 690, 678, 924, 420 is 6

2. How to calculate the greatest common divisor of 690, 678, 924, 420?

We can find the highest common divisor of 690, 678, 924, 420 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, 678, 924, 420 i.e 6.

3. How can I use the GCD of 690, 678, 924, 420Calculator?

Out the numbers 690, 678, 924, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.