GCD of 104, 914, 372, 687 Calculator

Given Input numbers are 104, 914, 372, 687

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

Divisors of 104 :

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

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

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (104, 914, 372, 687) = 1.

Given numbers are 104, 914, 372, 687

The list of prime factors of all numbers are

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

Prime factors of 914 are 2 x 457

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 687 are 3 x 229

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

Given numbers are 104, 914, 372, 687

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

Apply this formula for all numbers.

Step1:

LCM(104, 914) = 47528

GCD(104, 914) = ( 104 x 914 ) / 47528

= 104 / 914

= 104

Step2:

LCM(2, 372) = 372

GCD(2, 372) = ( 2 x 372 ) / 372

= 2 / 372

= 2

Step3:

LCM(2, 687) = 1374

GCD(2, 687) = ( 2 x 687 ) / 1374

= 2 / 687

= 2

So, Greatest Common Divisor of 104, 914, 372, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 631, 448, 131, 298
• GCD of 447, 566, 620, 442
• GCD of 337, 686, 308, 379
• GCD of 113, 625, 650, 532
• GCD of 229, 634, 786, 298

Given numbers are 104, 914, 372, 687
The greatest common divisor of numbers 104, 914, 372, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 914, 372, 687 is 1.

1. What is the GCD of 104, 914, 372, 687?

GCD of given numbers 104, 914, 372, 687 is 1

2. How to calculate the greatest common divisor of 104, 914, 372, 687?

We can find the highest common divisor of 104, 914, 372, 687 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 104, 914, 372, 687 i.e 1.

3. How can I use the GCD of 104, 914, 372, 687Calculator?

Out the numbers 104, 914, 372, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.