GCD of 242, 731, 968, 217 Calculator

Given Input numbers are 242, 731, 968, 217

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

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

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

GCD of numbers is the greatest common divisor

So, the GCD (242, 731, 968, 217) = 1.

Given numbers are 242, 731, 968, 217

The list of prime factors of all numbers are

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

Prime factors of 217 are 7 x 31

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

Given numbers are 242, 731, 968, 217

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

Apply this formula for all numbers.

Step1:

LCM(242, 731) = 176902

GCD(242, 731) = ( 242 x 731 ) / 176902

= 242 / 731

= 242

Step2:

LCM(1, 968) = 968

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

= 1 / 968

= 1

Step3:

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

= 1 / 217

= 1

So, Greatest Common Divisor of 242, 731, 968, 217 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 820, 898, 334, 616
• GCD of 299, 342, 368, 143
• GCD of 392, 229, 303, 139
• GCD of 298, 455, 368, 119
• GCD of 538, 350, 209, 858

Given numbers are 242, 731, 968, 217
The greatest common divisor of numbers 242, 731, 968, 217 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 731, 968, 217 is 1.

1. What is the GCD of 242, 731, 968, 217?

GCD of given numbers 242, 731, 968, 217 is 1

2. How to calculate the greatest common divisor of 242, 731, 968, 217?

We can find the highest common divisor of 242, 731, 968, 217 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 242, 731, 968, 217 i.e 1.

3. How can I use the GCD of 242, 731, 968, 217Calculator?

Out the numbers 242, 731, 968, 217 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.