GCD of 214, 724, 677, 918 Calculator

Given Input numbers are 214, 724, 677, 918

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

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

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 (214, 724, 677, 918) = 1.

Given numbers are 214, 724, 677, 918

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 724 are 2 x 2 x 181

Prime factors of 677 are 677

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

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

Given numbers are 214, 724, 677, 918

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

Apply this formula for all numbers.

Step1:

LCM(214, 724) = 77468

GCD(214, 724) = ( 214 x 724 ) / 77468

= 214 / 724

= 214

Step2:

LCM(2, 677) = 1354

GCD(2, 677) = ( 2 x 677 ) / 1354

= 2 / 677

= 2

Step3:

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

= 1 / 918

= 1

So, Greatest Common Divisor of 214, 724, 677, 918 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 861, 373, 115, 790
• GCD of 397, 172, 668, 935
• GCD of 790, 159, 406, 197
• GCD of 790, 767, 721, 892
• GCD of 929, 518, 798, 123

Given numbers are 214, 724, 677, 918
The greatest common divisor of numbers 214, 724, 677, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 724, 677, 918 is 1.

1. What is the GCD of 214, 724, 677, 918?

GCD of given numbers 214, 724, 677, 918 is 1

2. How to calculate the greatest common divisor of 214, 724, 677, 918?

We can find the highest common divisor of 214, 724, 677, 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 214, 724, 677, 918 i.e 1.

3. How can I use the GCD of 214, 724, 677, 918Calculator?

Out the numbers 214, 724, 677, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.