GCD of 354, 294, 691, 659 Calculator

Given Input numbers are 354, 294, 691, 659

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 691 :

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

1, 691

Divisors of 659 :

The positive integer divisors of 659 that completely divides 659 are.

1, 659

GCD of numbers is the greatest common divisor

So, the GCD (354, 294, 691, 659) = 1.

Given numbers are 354, 294, 691, 659

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 691 are 691

Prime factors of 659 are 659

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

Given numbers are 354, 294, 691, 659

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

Apply this formula for all numbers.

Step1:

LCM(354, 294) = 17346

GCD(354, 294) = ( 354 x 294 ) / 17346

= 354 / 294

= 354

Step2:

LCM(6, 691) = 4146

GCD(6, 691) = ( 6 x 691 ) / 4146

= 6 / 691

= 6

Step3:

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

= 1 / 659

= 1

So, Greatest Common Divisor of 354, 294, 691, 659 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 489, 421, 289, 674
• GCD of 950, 777, 217, 569
• GCD of 775, 989, 408, 827
• GCD of 466, 928, 722, 183
• GCD of 137, 558, 534, 119

Given numbers are 354, 294, 691, 659
The greatest common divisor of numbers 354, 294, 691, 659 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 294, 691, 659 is 1.

1. What is the GCD of 354, 294, 691, 659?

GCD of given numbers 354, 294, 691, 659 is 1

2. How to calculate the greatest common divisor of 354, 294, 691, 659?

We can find the highest common divisor of 354, 294, 691, 659 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 354, 294, 691, 659 i.e 1.

3. How can I use the GCD of 354, 294, 691, 659Calculator?

Out the numbers 354, 294, 691, 659 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.