GCD of 742, 508, 222, 231 Calculator

Given Input numbers are 742, 508, 222, 231

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

Divisors of 742 :

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

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

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

GCD of numbers is the greatest common divisor

So, the GCD (742, 508, 222, 231) = 1.

Given numbers are 742, 508, 222, 231

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 508 are 2 x 2 x 127

Prime factors of 222 are 2 x 3 x 37

Prime factors of 231 are 3 x 7 x 11

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

Given numbers are 742, 508, 222, 231

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

Apply this formula for all numbers.

Step1:

LCM(742, 508) = 188468

GCD(742, 508) = ( 742 x 508 ) / 188468

= 742 / 508

= 742

Step2:

LCM(2, 222) = 222

GCD(2, 222) = ( 2 x 222 ) / 222

= 2 / 222

= 2

Step3:

LCM(2, 231) = 462

GCD(2, 231) = ( 2 x 231 ) / 462

= 2 / 231

= 2

So, Greatest Common Divisor of 742, 508, 222, 231 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 299, 623, 766, 148
• GCD of 493, 133, 830, 790
• GCD of 708, 234, 593, 707
• GCD of 474, 757, 107, 538
• GCD of 227, 595, 574, 663

Given numbers are 742, 508, 222, 231
The greatest common divisor of numbers 742, 508, 222, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 508, 222, 231 is 1.

1. What is the GCD of 742, 508, 222, 231?

GCD of given numbers 742, 508, 222, 231 is 1

2. How to calculate the greatest common divisor of 742, 508, 222, 231?

We can find the highest common divisor of 742, 508, 222, 231 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 742, 508, 222, 231 i.e 1.

3. How can I use the GCD of 742, 508, 222, 231Calculator?

Out the numbers 742, 508, 222, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.