GCD of 825, 692, 257, 352 Calculator

Given Input numbers are 825, 692, 257, 352

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 257 :

The positive integer divisors of 257 that completely divides 257 are.

1, 257

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

GCD of numbers is the greatest common divisor

So, the GCD (825, 692, 257, 352) = 1.

Given numbers are 825, 692, 257, 352

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 257 are 257

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

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

Given numbers are 825, 692, 257, 352

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, 257) = 257

GCD(1, 257) = ( 1 x 257 ) / 257

= 1 / 257

= 1

Step3:

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

= 1 / 352

= 1

So, Greatest Common Divisor of 825, 692, 257, 352 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 234, 517, 720, 115
• GCD of 165, 187, 250, 271
• GCD of 779, 703, 372, 548
• GCD of 649, 835, 622, 781
• GCD of 619, 134, 860, 620

Given numbers are 825, 692, 257, 352
The greatest common divisor of numbers 825, 692, 257, 352 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 692, 257, 352 is 1.

1. What is the GCD of 825, 692, 257, 352?

GCD of given numbers 825, 692, 257, 352 is 1

2. How to calculate the greatest common divisor of 825, 692, 257, 352?

We can find the highest common divisor of 825, 692, 257, 352 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, 257, 352 i.e 1.

3. How can I use the GCD of 825, 692, 257, 352Calculator?

Out the numbers 825, 692, 257, 352 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.