GCD of 825, 692, 969, 190 Calculator

Given Input numbers are 825, 692, 969, 190

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 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 190 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (825, 692, 969, 190) = 1.

Given numbers are 825, 692, 969, 190

The list of prime factors of all numbers are

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

Prime factors of 692 are 2 x 2 x 173

Prime factors of 969 are 3 x 17 x 19

Prime factors of 190 are 2 x 5 x 19

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

Given numbers are 825, 692, 969, 190

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

Apply this formula for all numbers.

Step1:

LCM(825, 692) = 570900

GCD(825, 692) = ( 825 x 692 ) / 570900

= 825 / 692

= 825

Step2:

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

= 1 / 969

= 1

Step3:

LCM(1, 190) = 190

GCD(1, 190) = ( 1 x 190 ) / 190

= 1 / 190

= 1

So, Greatest Common Divisor of 825, 692, 969, 190 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 474, 485, 746, 854
• GCD of 611, 661, 190, 548
• GCD of 801, 244, 357, 301
• GCD of 989, 347, 158, 796
• GCD of 131, 450, 194, 985

Given numbers are 825, 692, 969, 190
The greatest common divisor of numbers 825, 692, 969, 190 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 692, 969, 190 is 1.

1. What is the GCD of 825, 692, 969, 190?

GCD of given numbers 825, 692, 969, 190 is 1

2. How to calculate the greatest common divisor of 825, 692, 969, 190?

We can find the highest common divisor of 825, 692, 969, 190 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, 692, 969, 190 i.e 1.

3. How can I use the GCD of 825, 692, 969, 190Calculator?

Out the numbers 825, 692, 969, 190 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.