GCD of 821, 120, 827, 919 Calculator

Given Input numbers are 821, 120, 827, 919

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 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 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

Divisors of 919 :

The positive integer divisors of 919 that completely divides 919 are.

1, 919

GCD of numbers is the greatest common divisor

So, the GCD (821, 120, 827, 919) = 1.

Given numbers are 821, 120, 827, 919

The list of prime factors of all numbers are

Prime factors of 821 are 821

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

Prime factors of 827 are 827

Prime factors of 919 are 919

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

Given numbers are 821, 120, 827, 919

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

Apply this formula for all numbers.

Step1:

LCM(821, 120) = 98520

GCD(821, 120) = ( 821 x 120 ) / 98520

= 821 / 120

= 821

Step2:

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

= 1 / 827

= 1

Step3:

LCM(1, 919) = 919

GCD(1, 919) = ( 1 x 919 ) / 919

= 1 / 919

= 1

So, Greatest Common Divisor of 821, 120, 827, 919 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 592, 807, 850, 629
• GCD of 117, 944, 161, 224
• GCD of 264, 343, 369, 188
• GCD of 107, 775, 962, 344
• GCD of 771, 731, 231, 800

Given numbers are 821, 120, 827, 919
The greatest common divisor of numbers 821, 120, 827, 919 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 120, 827, 919 is 1.

1. What is the GCD of 821, 120, 827, 919?

GCD of given numbers 821, 120, 827, 919 is 1

2. How to calculate the greatest common divisor of 821, 120, 827, 919?

We can find the highest common divisor of 821, 120, 827, 919 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, 120, 827, 919 i.e 1.

3. How can I use the GCD of 821, 120, 827, 919Calculator?

Out the numbers 821, 120, 827, 919 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.