GCD of 875, 884, 242, 105 Calculator

Given Input numbers are 875, 884, 242, 105

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

Divisors of 875 :

The positive integer divisors of 875 that completely divides 875 are.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 884 :

The positive integer divisors of 884 that completely divides 884 are.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

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 (875, 884, 242, 105) = 1.

Given numbers are 875, 884, 242, 105

The list of prime factors of all numbers are

Prime factors of 875 are 5 x 5 x 5 x 7

Prime factors of 884 are 2 x 2 x 13 x 17

Prime factors of 242 are 2 x 11 x 11

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 875, 884, 242, 105

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

Apply this formula for all numbers.

Step1:

LCM(875, 884) = 773500

GCD(875, 884) = ( 875 x 884 ) / 773500

= 875 / 884

= 875

Step2:

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

= 1 / 242

= 1

Step3:

LCM(1, 105) = 105

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

= 1 / 105

= 1

So, Greatest Common Divisor of 875, 884, 242, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 956, 389, 442, 552
• GCD of 393, 922, 186, 901
• GCD of 551, 879, 146, 736
• GCD of 745, 923, 226, 135
• GCD of 350, 496, 943, 397

Given numbers are 875, 884, 242, 105
The greatest common divisor of numbers 875, 884, 242, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 875, 884, 242, 105 is 1.

1. What is the GCD of 875, 884, 242, 105?

GCD of given numbers 875, 884, 242, 105 is 1

2. How to calculate the greatest common divisor of 875, 884, 242, 105?

We can find the highest common divisor of 875, 884, 242, 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 875, 884, 242, 105 i.e 1.

3. How can I use the GCD of 875, 884, 242, 105Calculator?

Out the numbers 875, 884, 242, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.