GCD of 105, 896, 131, 365 Calculator

Given Input numbers are 105, 896, 131, 365

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 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

GCD of numbers is the greatest common divisor

So, the GCD (105, 896, 131, 365) = 1.

Given numbers are 105, 896, 131, 365

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 131 are 131

Prime factors of 365 are 5 x 73

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

Given numbers are 105, 896, 131, 365

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

Apply this formula for all numbers.

Step1:

LCM(105, 896) = 13440

GCD(105, 896) = ( 105 x 896 ) / 13440

= 105 / 896

= 105

Step2:

LCM(7, 131) = 917

GCD(7, 131) = ( 7 x 131 ) / 917

= 7 / 131

= 7

Step3:

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

= 1 / 365

= 1

So, Greatest Common Divisor of 105, 896, 131, 365 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 863, 409, 278, 669
• GCD of 706, 713, 185, 539
• GCD of 451, 761, 859, 511
• GCD of 902, 219, 191, 617
• GCD of 969, 728, 864, 568

Given numbers are 105, 896, 131, 365
The greatest common divisor of numbers 105, 896, 131, 365 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 896, 131, 365 is 1.

1. What is the GCD of 105, 896, 131, 365?

GCD of given numbers 105, 896, 131, 365 is 1

2. How to calculate the greatest common divisor of 105, 896, 131, 365?

We can find the highest common divisor of 105, 896, 131, 365 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, 896, 131, 365 i.e 1.

3. How can I use the GCD of 105, 896, 131, 365Calculator?

Out the numbers 105, 896, 131, 365 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.