GCD of 238, 716, 416, 918 Calculator

Given Input numbers are 238, 716, 416, 918

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

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

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 (238, 716, 416, 918) = 2.

Given numbers are 238, 716, 416, 918

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 716 are 2 x 2 x 179

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 238, 716, 416, 918 is 2.

Given numbers are 238, 716, 416, 918

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

Apply this formula for all numbers.

Step1:

LCM(238, 716) = 85204

GCD(238, 716) = ( 238 x 716 ) / 85204

= 238 / 716

= 238

Step2:

LCM(2, 416) = 416

GCD(2, 416) = ( 2 x 416 ) / 416

= 2 / 416

= 2

Step3:

LCM(2, 918) = 918

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

= 2 / 918

= 2

So, Greatest Common Divisor of 238, 716, 416, 918 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 358, 264, 344, 720
• GCD of 210, 667, 970, 893
• GCD of 696, 958, 656, 100
• GCD of 127, 740, 561, 228
• GCD of 457, 986, 716, 561

Given numbers are 238, 716, 416, 918
The greatest common divisor of numbers 238, 716, 416, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 716, 416, 918 is 2.

1. What is the GCD of 238, 716, 416, 918?

GCD of given numbers 238, 716, 416, 918 is 2

2. How to calculate the greatest common divisor of 238, 716, 416, 918?

We can find the highest common divisor of 238, 716, 416, 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 238, 716, 416, 918 i.e 2.

3. How can I use the GCD of 238, 716, 416, 918Calculator?

Out the numbers 238, 716, 416, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.