GCD of 821, 758, 724, 120 Calculator

Given Input numbers are 821, 758, 724, 120

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

Divisors of 821 :

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

1, 821

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

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 (821, 758, 724, 120) = 1.

Given numbers are 821, 758, 724, 120

The list of prime factors of all numbers are

Prime factors of 821 are 821

Prime factors of 758 are 2 x 379

Prime factors of 724 are 2 x 2 x 181

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 821, 758, 724, 120

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

Apply this formula for all numbers.

Step1:

LCM(821, 758) = 622318

GCD(821, 758) = ( 821 x 758 ) / 622318

= 821 / 758

= 821

Step2:

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

= 1 / 724

= 1

Step3:

LCM(1, 120) = 120

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

= 1 / 120

= 1

So, Greatest Common Divisor of 821, 758, 724, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 309, 977, 908, 238
• GCD of 494, 250, 726, 771
• GCD of 152, 799, 243, 666
• GCD of 825, 758, 880, 671
• GCD of 994, 539, 122, 425

Given numbers are 821, 758, 724, 120
The greatest common divisor of numbers 821, 758, 724, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 758, 724, 120 is 1.

1. What is the GCD of 821, 758, 724, 120?

GCD of given numbers 821, 758, 724, 120 is 1

2. How to calculate the greatest common divisor of 821, 758, 724, 120?

We can find the highest common divisor of 821, 758, 724, 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 821, 758, 724, 120 i.e 1.

3. How can I use the GCD of 821, 758, 724, 120Calculator?

Out the numbers 821, 758, 724, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.