GCD of 314, 369, 691, 343 Calculator

Given Input numbers are 314, 369, 691, 343

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 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 691 :

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

1, 691

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

GCD of numbers is the greatest common divisor

So, the GCD (314, 369, 691, 343) = 1.

Given numbers are 314, 369, 691, 343

The list of prime factors of all numbers are

Prime factors of 314 are 2 x 157

Prime factors of 369 are 3 x 3 x 41

Prime factors of 691 are 691

Prime factors of 343 are 7 x 7 x 7

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

Given numbers are 314, 369, 691, 343

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

Apply this formula for all numbers.

Step1:

LCM(314, 369) = 115866

GCD(314, 369) = ( 314 x 369 ) / 115866

= 314 / 369

= 314

Step2:

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

= 1 / 691

= 1

Step3:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

So, Greatest Common Divisor of 314, 369, 691, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 534, 144, 649, 942
• GCD of 870, 277, 472, 200
• GCD of 495, 889, 131, 902
• GCD of 993, 259, 400, 467
• GCD of 772, 201, 355, 555

Given numbers are 314, 369, 691, 343
The greatest common divisor of numbers 314, 369, 691, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 369, 691, 343 is 1.

1. What is the GCD of 314, 369, 691, 343?

GCD of given numbers 314, 369, 691, 343 is 1

2. How to calculate the greatest common divisor of 314, 369, 691, 343?

We can find the highest common divisor of 314, 369, 691, 343 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, 369, 691, 343 i.e 1.

3. How can I use the GCD of 314, 369, 691, 343Calculator?

Out the numbers 314, 369, 691, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.