GCD of 314, 691, 18, 772 Calculator

Given Input numbers are 314, 691, 18, 772

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

Divisors of 314 :

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

1, 2, 157, 314

Divisors of 691 :

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

1, 691

Divisors of 18 :

The positive integer divisors of 18 that completely divides 18 are.

1, 2, 3, 6, 9, 18

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

GCD of numbers is the greatest common divisor

So, the GCD (314, 691, 18, 772) = 1.

Given numbers are 314, 691, 18, 772

The list of prime factors of all numbers are

Prime factors of 314 are 2 x 157

Prime factors of 691 are 691

Prime factors of 18 are 2 x 3 x 3

Prime factors of 772 are 2 x 2 x 193

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

Given numbers are 314, 691, 18, 772

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

Apply this formula for all numbers.

Step1:

LCM(314, 691) = 216974

GCD(314, 691) = ( 314 x 691 ) / 216974

= 314 / 691

= 314

Step2:

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

= 1 / 18

= 1

Step3:

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

= 1 / 772

= 1

So, Greatest Common Divisor of 314, 691, 18, 772 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 657, 798, 31, 494
• GCD of 329, 550, 76, 866
• GCD of 166, 346, 73, 494
• GCD of 690, 466, 49, 856
• GCD of 575, 783, 68, 248

Given numbers are 314, 691, 18, 772
The greatest common divisor of numbers 314, 691, 18, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 691, 18, 772 is 1.

1. What is the GCD of 314, 691, 18, 772?

GCD of given numbers 314, 691, 18, 772 is 1

2. How to calculate the greatest common divisor of 314, 691, 18, 772?

We can find the highest common divisor of 314, 691, 18, 772 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 314, 691, 18, 772 i.e 1.

3. How can I use the GCD of 314, 691, 18, 772Calculator?

Out the numbers 314, 691, 18, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.