GCD of 120, 785, 813, 821 Calculator

Given Input numbers are 120, 785, 813, 821

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 785 :

The positive integer divisors of 785 that completely divides 785 are.

1, 5, 157, 785

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

GCD of numbers is the greatest common divisor

So, the GCD (120, 785, 813, 821) = 1.

Given numbers are 120, 785, 813, 821

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 785 are 5 x 157

Prime factors of 813 are 3 x 271

Prime factors of 821 are 821

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

Given numbers are 120, 785, 813, 821

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

Apply this formula for all numbers.

Step1:

LCM(120, 785) = 18840

GCD(120, 785) = ( 120 x 785 ) / 18840

= 120 / 785

= 120

Step2:

LCM(5, 813) = 4065

GCD(5, 813) = ( 5 x 813 ) / 4065

= 5 / 813

= 5

Step3:

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

= 1 / 821

= 1

So, Greatest Common Divisor of 120, 785, 813, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 957, 442, 605, 918
• GCD of 836, 216, 608, 833
• GCD of 898, 530, 267, 251
• GCD of 223, 846, 366, 972
• GCD of 492, 258, 894, 320

Given numbers are 120, 785, 813, 821
The greatest common divisor of numbers 120, 785, 813, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 785, 813, 821 is 1.

1. What is the GCD of 120, 785, 813, 821?

GCD of given numbers 120, 785, 813, 821 is 1

2. How to calculate the greatest common divisor of 120, 785, 813, 821?

We can find the highest common divisor of 120, 785, 813, 821 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, 785, 813, 821 i.e 1.

3. How can I use the GCD of 120, 785, 813, 821Calculator?

Out the numbers 120, 785, 813, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.