GCD of 111, 420, 387, 697 Calculator

Given Input numbers are 111, 420, 387, 697

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

Divisors of 111 :

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

1, 3, 37, 111

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 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

GCD of numbers is the greatest common divisor

So, the GCD (111, 420, 387, 697) = 1.

Given numbers are 111, 420, 387, 697

The list of prime factors of all numbers are

Prime factors of 111 are 3 x 37

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

Prime factors of 387 are 3 x 3 x 43

Prime factors of 697 are 17 x 41

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

Given numbers are 111, 420, 387, 697

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

Apply this formula for all numbers.

Step1:

LCM(111, 420) = 15540

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

= 111 / 420

= 111

Step2:

LCM(3, 387) = 387

GCD(3, 387) = ( 3 x 387 ) / 387

= 3 / 387

= 3

Step3:

LCM(3, 697) = 2091

GCD(3, 697) = ( 3 x 697 ) / 2091

= 3 / 697

= 3

So, Greatest Common Divisor of 111, 420, 387, 697 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 513, 106, 506, 733
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Given numbers are 111, 420, 387, 697
The greatest common divisor of numbers 111, 420, 387, 697 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 111, 420, 387, 697 is 1.

1. What is the GCD of 111, 420, 387, 697?

GCD of given numbers 111, 420, 387, 697 is 1

2. How to calculate the greatest common divisor of 111, 420, 387, 697?

We can find the highest common divisor of 111, 420, 387, 697 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 111, 420, 387, 697 i.e 1.

3. How can I use the GCD of 111, 420, 387, 697Calculator?

Out the numbers 111, 420, 387, 697 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.