GCD of 105, 814, 588, 358 Calculator

Given Input numbers are 105, 814, 588, 358

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

GCD of numbers is the greatest common divisor

So, the GCD (105, 814, 588, 358) = 1.

Given numbers are 105, 814, 588, 358

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 814 are 2 x 11 x 37

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 358 are 2 x 179

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

Given numbers are 105, 814, 588, 358

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

Apply this formula for all numbers.

Step1:

LCM(105, 814) = 85470

GCD(105, 814) = ( 105 x 814 ) / 85470

= 105 / 814

= 105

Step2:

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

= 1 / 588

= 1

Step3:

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

= 1 / 358

= 1

So, Greatest Common Divisor of 105, 814, 588, 358 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 473, 289, 908, 866
• GCD of 812, 487, 802, 772
• GCD of 334, 386, 397, 111
• GCD of 954, 498, 257, 317
• GCD of 123, 575, 577, 736

Given numbers are 105, 814, 588, 358
The greatest common divisor of numbers 105, 814, 588, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 814, 588, 358 is 1.

1. What is the GCD of 105, 814, 588, 358?

GCD of given numbers 105, 814, 588, 358 is 1

2. How to calculate the greatest common divisor of 105, 814, 588, 358?

We can find the highest common divisor of 105, 814, 588, 358 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 105, 814, 588, 358 i.e 1.

3. How can I use the GCD of 105, 814, 588, 358Calculator?

Out the numbers 105, 814, 588, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.