GCD of 214, 242, 731, 968 Calculator

Given Input numbers are 214, 242, 731, 968

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 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

GCD of numbers is the greatest common divisor

So, the GCD (214, 242, 731, 968) = 1.

Given numbers are 214, 242, 731, 968

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 242 are 2 x 11 x 11

Prime factors of 731 are 17 x 43

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

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

Given numbers are 214, 242, 731, 968

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

Apply this formula for all numbers.

Step1:

LCM(214, 242) = 25894

GCD(214, 242) = ( 214 x 242 ) / 25894

= 214 / 242

= 214

Step2:

LCM(2, 731) = 1462

GCD(2, 731) = ( 2 x 731 ) / 1462

= 2 / 731

= 2

Step3:

LCM(1, 968) = 968

GCD(1, 968) = ( 1 x 968 ) / 968

= 1 / 968

= 1

So, Greatest Common Divisor of 214, 242, 731, 968 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 332, 702, 322, 931
• GCD of 423, 678, 954, 676
• GCD of 640, 538, 205, 236
• GCD of 982, 303, 754, 948
• GCD of 266, 824, 628, 559

Given numbers are 214, 242, 731, 968
The greatest common divisor of numbers 214, 242, 731, 968 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 242, 731, 968 is 1.

1. What is the GCD of 214, 242, 731, 968?

GCD of given numbers 214, 242, 731, 968 is 1

2. How to calculate the greatest common divisor of 214, 242, 731, 968?

We can find the highest common divisor of 214, 242, 731, 968 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, 242, 731, 968 i.e 1.

3. How can I use the GCD of 214, 242, 731, 968Calculator?

Out the numbers 214, 242, 731, 968 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.