GCD of 345, 356, 684, 111 Calculator

Given Input numbers are 345, 356, 684, 111

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 111 :

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

1, 3, 37, 111

GCD of numbers is the greatest common divisor

So, the GCD (345, 356, 684, 111) = 1.

Given numbers are 345, 356, 684, 111

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 356 are 2 x 2 x 89

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 111 are 3 x 37

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

Given numbers are 345, 356, 684, 111

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

Apply this formula for all numbers.

Step1:

LCM(345, 356) = 122820

GCD(345, 356) = ( 345 x 356 ) / 122820

= 345 / 356

= 345

Step2:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1

Step3:

LCM(1, 111) = 111

GCD(1, 111) = ( 1 x 111 ) / 111

= 1 / 111

= 1

So, Greatest Common Divisor of 345, 356, 684, 111 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 890, 151, 358, 224
• GCD of 568, 685, 864, 207
• GCD of 300, 591, 849, 682
• GCD of 426, 920, 655, 956
• GCD of 561, 521, 434, 821

Given numbers are 345, 356, 684, 111
The greatest common divisor of numbers 345, 356, 684, 111 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 356, 684, 111 is 1.

1. What is the GCD of 345, 356, 684, 111?

GCD of given numbers 345, 356, 684, 111 is 1

2. How to calculate the greatest common divisor of 345, 356, 684, 111?

We can find the highest common divisor of 345, 356, 684, 111 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 345, 356, 684, 111 i.e 1.

3. How can I use the GCD of 345, 356, 684, 111Calculator?

Out the numbers 345, 356, 684, 111 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.