GCD of 111, 276, 472, 690 Calculator

Given Input numbers are 111, 276, 472, 690

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 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

GCD of numbers is the greatest common divisor

So, the GCD (111, 276, 472, 690) = 1.

Given numbers are 111, 276, 472, 690

The list of prime factors of all numbers are

Prime factors of 111 are 3 x 37

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 690 are 2 x 3 x 5 x 23

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

Given numbers are 111, 276, 472, 690

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

Apply this formula for all numbers.

Step1:

LCM(111, 276) = 10212

GCD(111, 276) = ( 111 x 276 ) / 10212

= 111 / 276

= 111

Step2:

LCM(3, 472) = 1416

GCD(3, 472) = ( 3 x 472 ) / 1416

= 3 / 472

= 3

Step3:

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

= 1 / 690

= 1

So, Greatest Common Divisor of 111, 276, 472, 690 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 269, 306, 778, 986
• GCD of 805, 328, 444, 443
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• GCD of 412, 112, 685, 233

Given numbers are 111, 276, 472, 690
The greatest common divisor of numbers 111, 276, 472, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 111, 276, 472, 690 is 1.

1. What is the GCD of 111, 276, 472, 690?

GCD of given numbers 111, 276, 472, 690 is 1

2. How to calculate the greatest common divisor of 111, 276, 472, 690?

We can find the highest common divisor of 111, 276, 472, 690 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, 276, 472, 690 i.e 1.

3. How can I use the GCD of 111, 276, 472, 690Calculator?

Out the numbers 111, 276, 472, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.