GCD of 420, 111, 984, 313 Calculator

Given Input numbers are 420, 111, 984, 313

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

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 111 :

The positive integer divisors of 111 that completely divides 111 are.

1, 3, 37, 111

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

GCD of numbers is the greatest common divisor

So, the GCD (420, 111, 984, 313) = 1.

Given numbers are 420, 111, 984, 313

The list of prime factors of all numbers are

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 111 are 3 x 37

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 313 are 313

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

Given numbers are 420, 111, 984, 313

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

Apply this formula for all numbers.

Step1:

LCM(420, 111) = 15540

GCD(420, 111) = ( 420 x 111 ) / 15540

= 420 / 111

= 420

Step2:

LCM(3, 984) = 984

GCD(3, 984) = ( 3 x 984 ) / 984

= 3 / 984

= 3

Step3:

LCM(3, 313) = 939

GCD(3, 313) = ( 3 x 313 ) / 939

= 3 / 313

= 3

So, Greatest Common Divisor of 420, 111, 984, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 963, 529, 215, 378
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• GCD of 797, 773, 184, 936
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• GCD of 436, 144, 795, 699

Given numbers are 420, 111, 984, 313
The greatest common divisor of numbers 420, 111, 984, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 111, 984, 313 is 1.

1. What is the GCD of 420, 111, 984, 313?

GCD of given numbers 420, 111, 984, 313 is 1

2. How to calculate the greatest common divisor of 420, 111, 984, 313?

We can find the highest common divisor of 420, 111, 984, 313 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 420, 111, 984, 313 i.e 1.

3. How can I use the GCD of 420, 111, 984, 313Calculator?

Out the numbers 420, 111, 984, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.