GCD of 291, 351, 214, 690 Calculator

Given Input numbers are 291, 351, 214, 690

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

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

GCD of numbers is the greatest common divisor

So, the GCD (291, 351, 214, 690) = 1.

Given numbers are 291, 351, 214, 690

The list of prime factors of all numbers are

Prime factors of 291 are 3 x 97

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 214 are 2 x 107

Prime factors of 690 are 2 x 3 x 5 x 23

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

Given numbers are 291, 351, 214, 690

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

Apply this formula for all numbers.

Step1:

LCM(291, 351) = 34047

GCD(291, 351) = ( 291 x 351 ) / 34047

= 291 / 351

= 291

Step2:

LCM(3, 214) = 642

GCD(3, 214) = ( 3 x 214 ) / 642

= 3 / 214

= 3

Step3:

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

= 1 / 690

= 1

So, Greatest Common Divisor of 291, 351, 214, 690 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 858, 436, 435, 995
• GCD of 799, 220, 861, 991
• GCD of 684, 480, 962, 406
• GCD of 940, 715, 437, 726
• GCD of 608, 341, 676, 840

Given numbers are 291, 351, 214, 690
The greatest common divisor of numbers 291, 351, 214, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 291, 351, 214, 690 is 1.

1. What is the GCD of 291, 351, 214, 690?

GCD of given numbers 291, 351, 214, 690 is 1

2. How to calculate the greatest common divisor of 291, 351, 214, 690?

We can find the highest common divisor of 291, 351, 214, 690 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 291, 351, 214, 690 i.e 1.

3. How can I use the GCD of 291, 351, 214, 690Calculator?

Out the numbers 291, 351, 214, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.