GCD of 684, 435, 825, 496 Calculator

Given Input numbers are 684, 435, 825, 496

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

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

GCD of numbers is the greatest common divisor

So, the GCD (684, 435, 825, 496) = 1.

Given numbers are 684, 435, 825, 496

The list of prime factors of all numbers are

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 435 are 3 x 5 x 29

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

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

Given numbers are 684, 435, 825, 496

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

Apply this formula for all numbers.

Step1:

LCM(684, 435) = 99180

GCD(684, 435) = ( 684 x 435 ) / 99180

= 684 / 435

= 684

Step2:

LCM(3, 825) = 825

GCD(3, 825) = ( 3 x 825 ) / 825

= 3 / 825

= 3

Step3:

LCM(3, 496) = 1488

GCD(3, 496) = ( 3 x 496 ) / 1488

= 3 / 496

= 3

So, Greatest Common Divisor of 684, 435, 825, 496 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 844, 156, 238, 761
• GCD of 639, 773, 536, 409
• GCD of 992, 391, 380, 571
• GCD of 165, 937, 692, 449
• GCD of 735, 845, 896, 622

Given numbers are 684, 435, 825, 496
The greatest common divisor of numbers 684, 435, 825, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 435, 825, 496 is 1.

1. What is the GCD of 684, 435, 825, 496?

GCD of given numbers 684, 435, 825, 496 is 1

2. How to calculate the greatest common divisor of 684, 435, 825, 496?

We can find the highest common divisor of 684, 435, 825, 496 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 684, 435, 825, 496 i.e 1.

3. How can I use the GCD of 684, 435, 825, 496Calculator?

Out the numbers 684, 435, 825, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.