GCD of 872, 105, 360, 158 Calculator

Given Input numbers are 872, 105, 360, 158

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

Divisors of 872 :

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

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

Divisors of 105 :

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

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 158 :

The positive integer divisors of 158 that completely divides 158 are.

1, 2, 79, 158

GCD of numbers is the greatest common divisor

So, the GCD (872, 105, 360, 158) = 1.

Given numbers are 872, 105, 360, 158

The list of prime factors of all numbers are

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

Prime factors of 105 are 3 x 5 x 7

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 158 are 2 x 79

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

Given numbers are 872, 105, 360, 158

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

Apply this formula for all numbers.

Step1:

LCM(872, 105) = 91560

GCD(872, 105) = ( 872 x 105 ) / 91560

= 872 / 105

= 872

Step2:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

Step3:

LCM(1, 158) = 158

GCD(1, 158) = ( 1 x 158 ) / 158

= 1 / 158

= 1

So, Greatest Common Divisor of 872, 105, 360, 158 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 292, 823, 413, 508
• GCD of 720, 371, 230, 602
• GCD of 900, 692, 703, 244
• GCD of 117, 782, 722, 513
• GCD of 850, 220, 218, 739

Given numbers are 872, 105, 360, 158
The greatest common divisor of numbers 872, 105, 360, 158 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 105, 360, 158 is 1.

1. What is the GCD of 872, 105, 360, 158?

GCD of given numbers 872, 105, 360, 158 is 1

2. How to calculate the greatest common divisor of 872, 105, 360, 158?

We can find the highest common divisor of 872, 105, 360, 158 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 872, 105, 360, 158 i.e 1.

3. How can I use the GCD of 872, 105, 360, 158Calculator?

Out the numbers 872, 105, 360, 158 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.