GCD of 945, 961, 105, 918 Calculator

Given Input numbers are 945, 961, 105, 918

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

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 961 :

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

1, 31, 961

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

GCD of numbers is the greatest common divisor

So, the GCD (945, 961, 105, 918) = 1.

Given numbers are 945, 961, 105, 918

The list of prime factors of all numbers are

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 961 are 31 x 31

Prime factors of 105 are 3 x 5 x 7

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

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

Given numbers are 945, 961, 105, 918

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

Apply this formula for all numbers.

Step1:

LCM(945, 961) = 908145

GCD(945, 961) = ( 945 x 961 ) / 908145

= 945 / 961

= 945

Step2:

LCM(1, 105) = 105

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

= 1 / 105

= 1

Step3:

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

= 1 / 918

= 1

So, Greatest Common Divisor of 945, 961, 105, 918 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 578, 818, 329, 411
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Given numbers are 945, 961, 105, 918
The greatest common divisor of numbers 945, 961, 105, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 961, 105, 918 is 1.

1. What is the GCD of 945, 961, 105, 918?

GCD of given numbers 945, 961, 105, 918 is 1

2. How to calculate the greatest common divisor of 945, 961, 105, 918?

We can find the highest common divisor of 945, 961, 105, 918 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 945, 961, 105, 918 i.e 1.

3. How can I use the GCD of 945, 961, 105, 918Calculator?

Out the numbers 945, 961, 105, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.