GCD of 825, 838, 752, 362 Calculator

Given Input numbers are 825, 838, 752, 362

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 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

GCD of numbers is the greatest common divisor

So, the GCD (825, 838, 752, 362) = 1.

Given numbers are 825, 838, 752, 362

The list of prime factors of all numbers are

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

Prime factors of 838 are 2 x 419

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 362 are 2 x 181

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

Given numbers are 825, 838, 752, 362

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

Apply this formula for all numbers.

Step1:

LCM(825, 838) = 691350

GCD(825, 838) = ( 825 x 838 ) / 691350

= 825 / 838

= 825

Step2:

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

= 1 / 752

= 1

Step3:

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

= 1 / 362

= 1

So, Greatest Common Divisor of 825, 838, 752, 362 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 757, 822, 288, 652
• GCD of 174, 124, 502, 551
• GCD of 822, 824, 677, 698
• GCD of 516, 416, 792, 329
• GCD of 957, 966, 989, 181

Given numbers are 825, 838, 752, 362
The greatest common divisor of numbers 825, 838, 752, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 838, 752, 362 is 1.

1. What is the GCD of 825, 838, 752, 362?

GCD of given numbers 825, 838, 752, 362 is 1

2. How to calculate the greatest common divisor of 825, 838, 752, 362?

We can find the highest common divisor of 825, 838, 752, 362 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, 838, 752, 362 i.e 1.

3. How can I use the GCD of 825, 838, 752, 362Calculator?

Out the numbers 825, 838, 752, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.