GCD of 945, 954, 270, 918 Calculator

Given Input numbers are 945, 954, 270, 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 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

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, 954, 270, 918) = 9.

Given numbers are 945, 954, 270, 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 954 are 2 x 3 x 3 x 53

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

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

The highest common occurrence is 3²

Therefore, GCD of 945, 954, 270, 918 is 9.

Given numbers are 945, 954, 270, 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, 954) = 100170

GCD(945, 954) = ( 945 x 954 ) / 100170

= 945 / 954

= 945

Step2:

LCM(9, 270) = 270

GCD(9, 270) = ( 9 x 270 ) / 270

= 9 / 270

= 9

Step3:

LCM(9, 918) = 918

GCD(9, 918) = ( 9 x 918 ) / 918

= 9 / 918

= 9

So, Greatest Common Divisor of 945, 954, 270, 918 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 910, 452, 196, 336
• GCD of 240, 436, 455, 332
• GCD of 511, 112, 678, 906
• GCD of 564, 549, 733, 282
• GCD of 479, 157, 866, 526

Given numbers are 945, 954, 270, 918
The greatest common divisor of numbers 945, 954, 270, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 954, 270, 918 is 9.

1. What is the GCD of 945, 954, 270, 918?

GCD of given numbers 945, 954, 270, 918 is 9

2. How to calculate the greatest common divisor of 945, 954, 270, 918?

We can find the highest common divisor of 945, 954, 270, 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, 954, 270, 918 i.e 9.

3. How can I use the GCD of 945, 954, 270, 918Calculator?

Out the numbers 945, 954, 270, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.