GCD of 824, 975, 826, 120 Calculator

Given Input numbers are 824, 975, 826, 120

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

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

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 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

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

GCD of numbers is the greatest common divisor

So, the GCD (824, 975, 826, 120) = 1.

Given numbers are 824, 975, 826, 120

The list of prime factors of all numbers are

Prime factors of 824 are 2 x 2 x 2 x 103

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

Prime factors of 826 are 2 x 7 x 59

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

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

Given numbers are 824, 975, 826, 120

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

Apply this formula for all numbers.

Step1:

LCM(824, 975) = 803400

GCD(824, 975) = ( 824 x 975 ) / 803400

= 824 / 975

= 824

Step2:

LCM(1, 826) = 826

GCD(1, 826) = ( 1 x 826 ) / 826

= 1 / 826

= 1

Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

So, Greatest Common Divisor of 824, 975, 826, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 909, 231, 780, 702
• GCD of 516, 221, 330, 269
• GCD of 691, 732, 268, 816
• GCD of 444, 600, 623, 171
• GCD of 405, 349, 704, 529

Given numbers are 824, 975, 826, 120
The greatest common divisor of numbers 824, 975, 826, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 975, 826, 120 is 1.

1. What is the GCD of 824, 975, 826, 120?

GCD of given numbers 824, 975, 826, 120 is 1

2. How to calculate the greatest common divisor of 824, 975, 826, 120?

We can find the highest common divisor of 824, 975, 826, 120 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 824, 975, 826, 120 i.e 1.

3. How can I use the GCD of 824, 975, 826, 120Calculator?

Out the numbers 824, 975, 826, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.