GCD of 108, 376, 109, 690 Calculator

Given Input numbers are 108, 376, 109, 690

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

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 (108, 376, 109, 690) = 1.

Given numbers are 108, 376, 109, 690

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 376 are 2 x 2 x 2 x 47

Prime factors of 109 are 109

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 108, 376, 109, 690

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

Apply this formula for all numbers.

Step1:

LCM(108, 376) = 10152

GCD(108, 376) = ( 108 x 376 ) / 10152

= 108 / 376

= 108

Step2:

LCM(4, 109) = 436

GCD(4, 109) = ( 4 x 109 ) / 436

= 4 / 109

= 4

Step3:

LCM(1, 690) = 690

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

= 1 / 690

= 1

So, Greatest Common Divisor of 108, 376, 109, 690 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 286, 116, 284, 307
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• GCD of 373, 114, 313, 599
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Given numbers are 108, 376, 109, 690
The greatest common divisor of numbers 108, 376, 109, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 376, 109, 690 is 1.

1. What is the GCD of 108, 376, 109, 690?

GCD of given numbers 108, 376, 109, 690 is 1

2. How to calculate the greatest common divisor of 108, 376, 109, 690?

We can find the highest common divisor of 108, 376, 109, 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 108, 376, 109, 690 i.e 1.

3. How can I use the GCD of 108, 376, 109, 690Calculator?

Out the numbers 108, 376, 109, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.