GCD of 109, 103, 104, 374 Calculator

Given Input numbers are 109, 103, 104, 374

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

Divisors of 109 :

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

1, 109

Divisors of 103 :

The positive integer divisors of 103 that completely divides 103 are.

1, 103

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

GCD of numbers is the greatest common divisor

So, the GCD (109, 103, 104, 374) = 1.

Given numbers are 109, 103, 104, 374

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 103 are 103

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 374 are 2 x 11 x 17

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

Given numbers are 109, 103, 104, 374

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

Apply this formula for all numbers.

Step1:

LCM(109, 103) = 11227

GCD(109, 103) = ( 109 x 103 ) / 11227

= 109 / 103

= 109

Step2:

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

= 1 / 104

= 1

Step3:

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

= 1 / 374

= 1

So, Greatest Common Divisor of 109, 103, 104, 374 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 411, 649, 937, 561
• GCD of 860, 591, 144, 197
• GCD of 423, 923, 761, 297
• GCD of 651, 246, 189, 849
• GCD of 230, 575, 587, 771

Given numbers are 109, 103, 104, 374
The greatest common divisor of numbers 109, 103, 104, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 103, 104, 374 is 1.

1. What is the GCD of 109, 103, 104, 374?

GCD of given numbers 109, 103, 104, 374 is 1

2. How to calculate the greatest common divisor of 109, 103, 104, 374?

We can find the highest common divisor of 109, 103, 104, 374 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 109, 103, 104, 374 i.e 1.

3. How can I use the GCD of 109, 103, 104, 374Calculator?

Out the numbers 109, 103, 104, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.