GCD of 120, 828, 525, 316 Calculator

Given Input numbers are 120, 828, 525, 316

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

GCD of numbers is the greatest common divisor

So, the GCD (120, 828, 525, 316) = 1.

Given numbers are 120, 828, 525, 316

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 525 are 3 x 5 x 5 x 7

Prime factors of 316 are 2 x 2 x 79

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

Given numbers are 120, 828, 525, 316

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

Apply this formula for all numbers.

Step1:

LCM(120, 828) = 8280

GCD(120, 828) = ( 120 x 828 ) / 8280

= 120 / 828

= 120

Step2:

LCM(12, 525) = 2100

GCD(12, 525) = ( 12 x 525 ) / 2100

= 12 / 525

= 12

Step3:

LCM(3, 316) = 948

GCD(3, 316) = ( 3 x 316 ) / 948

= 3 / 316

= 3

So, Greatest Common Divisor of 120, 828, 525, 316 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 337, 597, 152, 299
• GCD of 520, 354, 272, 351
• GCD of 678, 210, 972, 734
• GCD of 187, 635, 621, 855
• GCD of 173, 708, 268, 339

Given numbers are 120, 828, 525, 316
The greatest common divisor of numbers 120, 828, 525, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 828, 525, 316 is 1.

1. What is the GCD of 120, 828, 525, 316?

GCD of given numbers 120, 828, 525, 316 is 1

2. How to calculate the greatest common divisor of 120, 828, 525, 316?

We can find the highest common divisor of 120, 828, 525, 316 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 120, 828, 525, 316 i.e 1.

3. How can I use the GCD of 120, 828, 525, 316Calculator?

Out the numbers 120, 828, 525, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.