GCD of 110, 342, 75, 961 Calculator

Given Input numbers are 110, 342, 75, 961

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

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 75 :

The positive integer divisors of 75 that completely divides 75 are.

1, 3, 5, 15, 25, 75

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

GCD of numbers is the greatest common divisor

So, the GCD (110, 342, 75, 961) = 1.

Given numbers are 110, 342, 75, 961

The list of prime factors of all numbers are

Prime factors of 110 are 2 x 5 x 11

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 75 are 3 x 5 x 5

Prime factors of 961 are 31 x 31

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

Given numbers are 110, 342, 75, 961

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

Apply this formula for all numbers.

Step1:

LCM(110, 342) = 18810

GCD(110, 342) = ( 110 x 342 ) / 18810

= 110 / 342

= 110

Step2:

LCM(2, 75) = 150

GCD(2, 75) = ( 2 x 75 ) / 150

= 2 / 75

= 2

Step3:

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

= 1 / 961

= 1

So, Greatest Common Divisor of 110, 342, 75, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 548, 787, 55, 465
• GCD of 195, 260, 28, 199
• GCD of 407, 752, 98, 246
• GCD of 624, 438, 51, 286
• GCD of 294, 495, 34, 120

Given numbers are 110, 342, 75, 961
The greatest common divisor of numbers 110, 342, 75, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 110, 342, 75, 961 is 1.

1. What is the GCD of 110, 342, 75, 961?

GCD of given numbers 110, 342, 75, 961 is 1

2. How to calculate the greatest common divisor of 110, 342, 75, 961?

We can find the highest common divisor of 110, 342, 75, 961 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 110, 342, 75, 961 i.e 1.

3. How can I use the GCD of 110, 342, 75, 961Calculator?

Out the numbers 110, 342, 75, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.