GCD of 690, 624, 753, 432 Calculator

Given Input numbers are 690, 624, 753, 432

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 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

GCD of numbers is the greatest common divisor

So, the GCD (690, 624, 753, 432) = 3.

Given numbers are 690, 624, 753, 432

The list of prime factors of all numbers are

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

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 753 are 3 x 251

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 690, 624, 753, 432 is 3.

Given numbers are 690, 624, 753, 432

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

Apply this formula for all numbers.

Step1:

LCM(690, 624) = 71760

GCD(690, 624) = ( 690 x 624 ) / 71760

= 690 / 624

= 690

Step2:

LCM(6, 753) = 1506

GCD(6, 753) = ( 6 x 753 ) / 1506

= 6 / 753

= 6

Step3:

LCM(3, 432) = 432

GCD(3, 432) = ( 3 x 432 ) / 432

= 3 / 432

= 3

So, Greatest Common Divisor of 690, 624, 753, 432 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 721, 144, 542, 171
• GCD of 380, 530, 967, 571
• GCD of 139, 233, 731, 623
• GCD of 572, 889, 128, 227
• GCD of 804, 609, 601, 638

Given numbers are 690, 624, 753, 432
The greatest common divisor of numbers 690, 624, 753, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 624, 753, 432 is 3.

1. What is the GCD of 690, 624, 753, 432?

GCD of given numbers 690, 624, 753, 432 is 3

2. How to calculate the greatest common divisor of 690, 624, 753, 432?

We can find the highest common divisor of 690, 624, 753, 432 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, 624, 753, 432 i.e 3.

3. How can I use the GCD of 690, 624, 753, 432Calculator?

Out the numbers 690, 624, 753, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.