GCD of 242, 742, 87, 224 Calculator

Given Input numbers are 242, 742, 87, 224

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 87 :

The positive integer divisors of 87 that completely divides 87 are.

1, 3, 29, 87

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

GCD of numbers is the greatest common divisor

So, the GCD (242, 742, 87, 224) = 1.

Given numbers are 242, 742, 87, 224

The list of prime factors of all numbers are

Prime factors of 242 are 2 x 11 x 11

Prime factors of 742 are 2 x 7 x 53

Prime factors of 87 are 3 x 29

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

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

Given numbers are 242, 742, 87, 224

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

Apply this formula for all numbers.

Step1:

LCM(242, 742) = 89782

GCD(242, 742) = ( 242 x 742 ) / 89782

= 242 / 742

= 242

Step2:

LCM(2, 87) = 174

GCD(2, 87) = ( 2 x 87 ) / 174

= 2 / 87

= 2

Step3:

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

= 1 / 224

= 1

So, Greatest Common Divisor of 242, 742, 87, 224 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 428, 119, 35, 630
• GCD of 785, 338, 55, 111
• GCD of 403, 703, 73, 302
• GCD of 328, 184, 95, 945
• GCD of 159, 587, 91, 414

Given numbers are 242, 742, 87, 224
The greatest common divisor of numbers 242, 742, 87, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 742, 87, 224 is 1.

1. What is the GCD of 242, 742, 87, 224?

GCD of given numbers 242, 742, 87, 224 is 1

2. How to calculate the greatest common divisor of 242, 742, 87, 224?

We can find the highest common divisor of 242, 742, 87, 224 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, 742, 87, 224 i.e 1.

3. How can I use the GCD of 242, 742, 87, 224Calculator?

Out the numbers 242, 742, 87, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.