GCD of 105, 358, 872, 679 Calculator

Given Input numbers are 105, 358, 872, 679

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 358 :

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

1, 2, 179, 358

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 679 :

The positive integer divisors of 679 that completely divides 679 are.

1, 7, 97, 679

GCD of numbers is the greatest common divisor

So, the GCD (105, 358, 872, 679) = 1.

Given numbers are 105, 358, 872, 679

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 358 are 2 x 179

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 679 are 7 x 97

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

Given numbers are 105, 358, 872, 679

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

Apply this formula for all numbers.

Step1:

LCM(105, 358) = 37590

GCD(105, 358) = ( 105 x 358 ) / 37590

= 105 / 358

= 105

Step2:

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

= 1 / 872

= 1

Step3:

LCM(1, 679) = 679

GCD(1, 679) = ( 1 x 679 ) / 679

= 1 / 679

= 1

So, Greatest Common Divisor of 105, 358, 872, 679 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 596, 762, 362, 917
• GCD of 667, 564, 436, 641
• GCD of 966, 180, 446, 659
• GCD of 844, 438, 537, 375
• GCD of 124, 580, 559, 885

Given numbers are 105, 358, 872, 679
The greatest common divisor of numbers 105, 358, 872, 679 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 358, 872, 679 is 1.

1. What is the GCD of 105, 358, 872, 679?

GCD of given numbers 105, 358, 872, 679 is 1

2. How to calculate the greatest common divisor of 105, 358, 872, 679?

We can find the highest common divisor of 105, 358, 872, 679 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, 358, 872, 679 i.e 1.

3. How can I use the GCD of 105, 358, 872, 679Calculator?

Out the numbers 105, 358, 872, 679 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.