GCD of 105, 614, 775, 359 Calculator

Given Input numbers are 105, 614, 775, 359

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 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 775 :

The positive integer divisors of 775 that completely divides 775 are.

1, 5, 25, 31, 155, 775

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359

GCD of numbers is the greatest common divisor

So, the GCD (105, 614, 775, 359) = 1.

Given numbers are 105, 614, 775, 359

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 614 are 2 x 307

Prime factors of 775 are 5 x 5 x 31

Prime factors of 359 are 359

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

Given numbers are 105, 614, 775, 359

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

Apply this formula for all numbers.

Step1:

LCM(105, 614) = 64470

GCD(105, 614) = ( 105 x 614 ) / 64470

= 105 / 614

= 105

Step2:

LCM(1, 775) = 775

GCD(1, 775) = ( 1 x 775 ) / 775

= 1 / 775

= 1

Step3:

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

= 1 / 359

= 1

So, Greatest Common Divisor of 105, 614, 775, 359 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 718, 824, 421, 375
• GCD of 922, 601, 337, 856
• GCD of 392, 525, 225, 160
• GCD of 811, 119, 187, 726
• GCD of 895, 382, 759, 405

Given numbers are 105, 614, 775, 359
The greatest common divisor of numbers 105, 614, 775, 359 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 614, 775, 359 is 1.

1. What is the GCD of 105, 614, 775, 359?

GCD of given numbers 105, 614, 775, 359 is 1

2. How to calculate the greatest common divisor of 105, 614, 775, 359?

We can find the highest common divisor of 105, 614, 775, 359 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, 614, 775, 359 i.e 1.

3. How can I use the GCD of 105, 614, 775, 359Calculator?

Out the numbers 105, 614, 775, 359 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.