GCD of 918, 154, 311, 105 Calculator

Given Input numbers are 918, 154, 311, 105

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

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

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 105 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (918, 154, 311, 105) = 1.

Given numbers are 918, 154, 311, 105

The list of prime factors of all numbers are

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

Prime factors of 154 are 2 x 7 x 11

Prime factors of 311 are 311

Prime factors of 105 are 3 x 5 x 7

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

Given numbers are 918, 154, 311, 105

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

Apply this formula for all numbers.

Step1:

LCM(918, 154) = 70686

GCD(918, 154) = ( 918 x 154 ) / 70686

= 918 / 154

= 918

Step2:

LCM(2, 311) = 622

GCD(2, 311) = ( 2 x 311 ) / 622

= 2 / 311

= 2

Step3:

LCM(1, 105) = 105

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

= 1 / 105

= 1

So, Greatest Common Divisor of 918, 154, 311, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 593, 682, 841, 903
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• GCD of 515, 247, 752, 195
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Given numbers are 918, 154, 311, 105
The greatest common divisor of numbers 918, 154, 311, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 154, 311, 105 is 1.

1. What is the GCD of 918, 154, 311, 105?

GCD of given numbers 918, 154, 311, 105 is 1

2. How to calculate the greatest common divisor of 918, 154, 311, 105?

We can find the highest common divisor of 918, 154, 311, 105 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 918, 154, 311, 105 i.e 1.

3. How can I use the GCD of 918, 154, 311, 105Calculator?

Out the numbers 918, 154, 311, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.