GCD of 825, 190, 312, 654 Calculator

Given Input numbers are 825, 190, 312, 654

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

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 190 :

The positive integer divisors of 190 that completely divides 190 are.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

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

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

GCD of numbers is the greatest common divisor

So, the GCD (825, 190, 312, 654) = 1.

Given numbers are 825, 190, 312, 654

The list of prime factors of all numbers are

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

Prime factors of 190 are 2 x 5 x 19

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 654 are 2 x 3 x 109

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

Given numbers are 825, 190, 312, 654

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

Apply this formula for all numbers.

Step1:

LCM(825, 190) = 31350

GCD(825, 190) = ( 825 x 190 ) / 31350

= 825 / 190

= 825

Step2:

LCM(5, 312) = 1560

GCD(5, 312) = ( 5 x 312 ) / 1560

= 5 / 312

= 5

Step3:

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

= 1 / 654

= 1

So, Greatest Common Divisor of 825, 190, 312, 654 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 268, 830, 736, 643
• GCD of 671, 790, 893, 455
• GCD of 381, 298, 252, 925
• GCD of 331, 238, 133, 811
• GCD of 490, 625, 679, 385

Given numbers are 825, 190, 312, 654
The greatest common divisor of numbers 825, 190, 312, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 190, 312, 654 is 1.

1. What is the GCD of 825, 190, 312, 654?

GCD of given numbers 825, 190, 312, 654 is 1

2. How to calculate the greatest common divisor of 825, 190, 312, 654?

We can find the highest common divisor of 825, 190, 312, 654 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 825, 190, 312, 654 i.e 1.

3. How can I use the GCD of 825, 190, 312, 654Calculator?

Out the numbers 825, 190, 312, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.