GCD of 105, 260, 375, 613 Calculator

Given Input numbers are 105, 260, 375, 613

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 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 613 :

The positive integer divisors of 613 that completely divides 613 are.

1, 613

GCD of numbers is the greatest common divisor

So, the GCD (105, 260, 375, 613) = 1.

Given numbers are 105, 260, 375, 613

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 260 are 2 x 2 x 5 x 13

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 613 are 613

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

Given numbers are 105, 260, 375, 613

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

Apply this formula for all numbers.

Step1:

LCM(105, 260) = 5460

GCD(105, 260) = ( 105 x 260 ) / 5460

= 105 / 260

= 105

Step2:

LCM(5, 375) = 375

GCD(5, 375) = ( 5 x 375 ) / 375

= 5 / 375

= 5

Step3:

LCM(5, 613) = 3065

GCD(5, 613) = ( 5 x 613 ) / 3065

= 5 / 613

= 5

So, Greatest Common Divisor of 105, 260, 375, 613 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 959, 935, 682, 318
• GCD of 155, 728, 376, 907
• GCD of 449, 576, 344, 499
• GCD of 463, 677, 569, 269
• GCD of 824, 112, 886, 819

Given numbers are 105, 260, 375, 613
The greatest common divisor of numbers 105, 260, 375, 613 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 260, 375, 613 is 1.

1. What is the GCD of 105, 260, 375, 613?

GCD of given numbers 105, 260, 375, 613 is 1

2. How to calculate the greatest common divisor of 105, 260, 375, 613?

We can find the highest common divisor of 105, 260, 375, 613 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, 260, 375, 613 i.e 1.

3. How can I use the GCD of 105, 260, 375, 613Calculator?

Out the numbers 105, 260, 375, 613 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.