GCD of 872, 373, 380, 105 Calculator

Given Input numbers are 872, 373, 380, 105

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 373 :

The positive integer divisors of 373 that completely divides 373 are.

1, 373

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 105 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (872, 373, 380, 105) = 1.

Given numbers are 872, 373, 380, 105

The list of prime factors of all numbers are

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

Prime factors of 373 are 373

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 105 are 3 x 5 x 7

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

Given numbers are 872, 373, 380, 105

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

Apply this formula for all numbers.

Step1:

LCM(872, 373) = 325256

GCD(872, 373) = ( 872 x 373 ) / 325256

= 872 / 373

= 872

Step2:

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

= 1 / 380

= 1

Step3:

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

= 1 / 105

= 1

So, Greatest Common Divisor of 872, 373, 380, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 307, 850, 159, 751
• GCD of 568, 150, 765, 237
• GCD of 869, 258, 915, 712
• GCD of 414, 264, 873, 194
• GCD of 956, 802, 174, 252

Given numbers are 872, 373, 380, 105
The greatest common divisor of numbers 872, 373, 380, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 373, 380, 105 is 1.

1. What is the GCD of 872, 373, 380, 105?

GCD of given numbers 872, 373, 380, 105 is 1

2. How to calculate the greatest common divisor of 872, 373, 380, 105?

We can find the highest common divisor of 872, 373, 380, 105 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, 373, 380, 105 i.e 1.

3. How can I use the GCD of 872, 373, 380, 105Calculator?

Out the numbers 872, 373, 380, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.