GCD of 133, 691, 687, 314 Calculator

Given Input numbers are 133, 691, 687, 314

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

Divisors of 133 :

The positive integer divisors of 133 that completely divides 133 are.

1, 7, 19, 133

Divisors of 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691

Divisors of 687 :

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

1, 3, 229, 687

Divisors of 314 :

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

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (133, 691, 687, 314) = 1.

Given numbers are 133, 691, 687, 314

The list of prime factors of all numbers are

Prime factors of 133 are 7 x 19

Prime factors of 691 are 691

Prime factors of 687 are 3 x 229

Prime factors of 314 are 2 x 157

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

Given numbers are 133, 691, 687, 314

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

Apply this formula for all numbers.

Step1:

LCM(133, 691) = 91903

GCD(133, 691) = ( 133 x 691 ) / 91903

= 133 / 691

= 133

Step2:

LCM(1, 687) = 687

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

= 1 / 687

= 1

Step3:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1

So, Greatest Common Divisor of 133, 691, 687, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 568, 431, 659, 372
• GCD of 307, 517, 758, 321
• GCD of 541, 769, 659, 314
• GCD of 117, 796, 743, 142
• GCD of 998, 208, 384, 166

Given numbers are 133, 691, 687, 314
The greatest common divisor of numbers 133, 691, 687, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 133, 691, 687, 314 is 1.

1. What is the GCD of 133, 691, 687, 314?

GCD of given numbers 133, 691, 687, 314 is 1

2. How to calculate the greatest common divisor of 133, 691, 687, 314?

We can find the highest common divisor of 133, 691, 687, 314 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 133, 691, 687, 314 i.e 1.

3. How can I use the GCD of 133, 691, 687, 314Calculator?

Out the numbers 133, 691, 687, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.