GCD of 832, 403, 975, 325 Calculator

Given Input numbers are 832, 403, 975, 325

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

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 403 :

The positive integer divisors of 403 that completely divides 403 are.

1, 13, 31, 403

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 325 :

The positive integer divisors of 325 that completely divides 325 are.

1, 5, 13, 25, 65, 325

GCD of numbers is the greatest common divisor

So, the GCD (832, 403, 975, 325) = 13.

Given numbers are 832, 403, 975, 325

The list of prime factors of all numbers are

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 403 are 13 x 31

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 325 are 5 x 5 x 13

The highest common occurrence is 13¹

Therefore, GCD of 832, 403, 975, 325 is 13.

Given numbers are 832, 403, 975, 325

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

Apply this formula for all numbers.

Step1:

LCM(832, 403) = 25792

GCD(832, 403) = ( 832 x 403 ) / 25792

= 832 / 403

= 832

Step2:

LCM(13, 975) = 975

GCD(13, 975) = ( 13 x 975 ) / 975

= 13 / 975

= 13

Step3:

LCM(13, 325) = 325

GCD(13, 325) = ( 13 x 325 ) / 325

= 13 / 325

= 13

So, Greatest Common Divisor of 832, 403, 975, 325 is 13

Here are some samples of GCD of Numbers calculations.

• GCD of 486, 632, 487, 362
• GCD of 734, 773, 531, 259
• GCD of 931, 325, 887, 829
• GCD of 808, 714, 780, 171
• GCD of 506, 699, 483, 354

Given numbers are 832, 403, 975, 325
The greatest common divisor of numbers 832, 403, 975, 325 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 832, 403, 975, 325 is 13.

1. What is the GCD of 832, 403, 975, 325?

GCD of given numbers 832, 403, 975, 325 is 13

2. How to calculate the greatest common divisor of 832, 403, 975, 325?

We can find the highest common divisor of 832, 403, 975, 325 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 832, 403, 975, 325 i.e 13.

3. How can I use the GCD of 832, 403, 975, 325Calculator?

Out the numbers 832, 403, 975, 325 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.