GCD of 738, 110, 918, 254 Calculator

Given Input numbers are 738, 110, 918, 254

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 110 :

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

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

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 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

GCD of numbers is the greatest common divisor

So, the GCD (738, 110, 918, 254) = 2.

Given numbers are 738, 110, 918, 254

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 110 are 2 x 5 x 11

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

Prime factors of 254 are 2 x 127

The highest common occurrence is 2¹

Therefore, GCD of 738, 110, 918, 254 is 2.

Given numbers are 738, 110, 918, 254

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

Apply this formula for all numbers.

Step1:

LCM(738, 110) = 40590

GCD(738, 110) = ( 738 x 110 ) / 40590

= 738 / 110

= 738

Step2:

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

= 2 / 918

= 2

Step3:

LCM(2, 254) = 254

GCD(2, 254) = ( 2 x 254 ) / 254

= 2 / 254

= 2

So, Greatest Common Divisor of 738, 110, 918, 254 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 699, 660, 723, 544
• GCD of 171, 884, 276, 250
• GCD of 137, 196, 542, 873
• GCD of 812, 225, 516, 653
• GCD of 257, 719, 145, 772

Given numbers are 738, 110, 918, 254
The greatest common divisor of numbers 738, 110, 918, 254 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 110, 918, 254 is 2.

1. What is the GCD of 738, 110, 918, 254?

GCD of given numbers 738, 110, 918, 254 is 2

2. How to calculate the greatest common divisor of 738, 110, 918, 254?

We can find the highest common divisor of 738, 110, 918, 254 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 738, 110, 918, 254 i.e 2.

3. How can I use the GCD of 738, 110, 918, 254Calculator?

Out the numbers 738, 110, 918, 254 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.