GCD of 214, 741, 680, 738 Calculator

Given Input numbers are 214, 741, 680, 738

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 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

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

GCD of numbers is the greatest common divisor

So, the GCD (214, 741, 680, 738) = 1.

Given numbers are 214, 741, 680, 738

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 741 are 3 x 13 x 19

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

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

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

Given numbers are 214, 741, 680, 738

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

Apply this formula for all numbers.

Step1:

LCM(214, 741) = 158574

GCD(214, 741) = ( 214 x 741 ) / 158574

= 214 / 741

= 214

Step2:

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

= 1 / 680

= 1

Step3:

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

= 1 / 738

= 1

So, Greatest Common Divisor of 214, 741, 680, 738 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 709, 467, 264, 771
• GCD of 420, 274, 426, 993
• GCD of 313, 267, 485, 827
• GCD of 816, 109, 732, 700
• GCD of 280, 512, 688, 308

Given numbers are 214, 741, 680, 738
The greatest common divisor of numbers 214, 741, 680, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 741, 680, 738 is 1.

1. What is the GCD of 214, 741, 680, 738?

GCD of given numbers 214, 741, 680, 738 is 1

2. How to calculate the greatest common divisor of 214, 741, 680, 738?

We can find the highest common divisor of 214, 741, 680, 738 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, 741, 680, 738 i.e 1.

3. How can I use the GCD of 214, 741, 680, 738Calculator?

Out the numbers 214, 741, 680, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.