GCD of 918, 938, 258, 966 Calculator

Given Input numbers are 918, 938, 258, 966

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 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

GCD of numbers is the greatest common divisor

So, the GCD (918, 938, 258, 966) = 2.

Given numbers are 918, 938, 258, 966

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 938 are 2 x 7 x 67

Prime factors of 258 are 2 x 3 x 43

Prime factors of 966 are 2 x 3 x 7 x 23

The highest common occurrence is 2¹

Therefore, GCD of 918, 938, 258, 966 is 2.

Given numbers are 918, 938, 258, 966

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

Apply this formula for all numbers.

Step1:

LCM(918, 938) = 430542

GCD(918, 938) = ( 918 x 938 ) / 430542

= 918 / 938

= 918

Step2:

LCM(2, 258) = 258

GCD(2, 258) = ( 2 x 258 ) / 258

= 2 / 258

= 2

Step3:

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

= 2 / 966

= 2

So, Greatest Common Divisor of 918, 938, 258, 966 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 808, 823, 957, 906
• GCD of 672, 237, 631, 449
• GCD of 776, 309, 890, 748
• GCD of 430, 585, 211, 578
• GCD of 547, 653, 980, 876

Given numbers are 918, 938, 258, 966
The greatest common divisor of numbers 918, 938, 258, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 938, 258, 966 is 2.

1. What is the GCD of 918, 938, 258, 966?

GCD of given numbers 918, 938, 258, 966 is 2

2. How to calculate the greatest common divisor of 918, 938, 258, 966?

We can find the highest common divisor of 918, 938, 258, 966 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, 938, 258, 966 i.e 2.

3. How can I use the GCD of 918, 938, 258, 966Calculator?

Out the numbers 918, 938, 258, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.