GCD of 117, 314, 435, 687 Calculator

Given Input numbers are 117, 314, 435, 687

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

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

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 (117, 314, 435, 687) = 1.

Given numbers are 117, 314, 435, 687

The list of prime factors of all numbers are

Prime factors of 117 are 3 x 3 x 13

Prime factors of 314 are 2 x 157

Prime factors of 435 are 3 x 5 x 29

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 117, 314, 435, 687

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

Apply this formula for all numbers.

Step1:

LCM(117, 314) = 36738

GCD(117, 314) = ( 117 x 314 ) / 36738

= 117 / 314

= 117

Step2:

LCM(1, 435) = 435

GCD(1, 435) = ( 1 x 435 ) / 435

= 1 / 435

= 1

Step3:

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

= 1 / 687

= 1

So, Greatest Common Divisor of 117, 314, 435, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 105, 789, 401, 334
• GCD of 378, 678, 251, 733
• GCD of 917, 282, 949, 622
• GCD of 365, 383, 279, 798
• GCD of 348, 703, 547, 218

Given numbers are 117, 314, 435, 687
The greatest common divisor of numbers 117, 314, 435, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 314, 435, 687 is 1.

1. What is the GCD of 117, 314, 435, 687?

GCD of given numbers 117, 314, 435, 687 is 1

2. How to calculate the greatest common divisor of 117, 314, 435, 687?

We can find the highest common divisor of 117, 314, 435, 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 117, 314, 435, 687 i.e 1.

3. How can I use the GCD of 117, 314, 435, 687Calculator?

Out the numbers 117, 314, 435, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.