GCD of 274, 705, 242, 367 Calculator

Given Input numbers are 274, 705, 242, 367

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

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 242 :

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

1, 2, 11, 22, 121, 242

Divisors of 367 :

The positive integer divisors of 367 that completely divides 367 are.

1, 367

GCD of numbers is the greatest common divisor

So, the GCD (274, 705, 242, 367) = 1.

Given numbers are 274, 705, 242, 367

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

Prime factors of 705 are 3 x 5 x 47

Prime factors of 242 are 2 x 11 x 11

Prime factors of 367 are 367

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

Given numbers are 274, 705, 242, 367

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

Apply this formula for all numbers.

Step1:

LCM(274, 705) = 193170

GCD(274, 705) = ( 274 x 705 ) / 193170

= 274 / 705

= 274

Step2:

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

= 1 / 242

= 1

Step3:

LCM(1, 367) = 367

GCD(1, 367) = ( 1 x 367 ) / 367

= 1 / 367

= 1

So, Greatest Common Divisor of 274, 705, 242, 367 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 440, 205, 682, 431
• GCD of 888, 232, 834, 883
• GCD of 640, 281, 891, 344
• GCD of 691, 323, 519, 656
• GCD of 288, 137, 944, 859

Given numbers are 274, 705, 242, 367
The greatest common divisor of numbers 274, 705, 242, 367 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 705, 242, 367 is 1.

1. What is the GCD of 274, 705, 242, 367?

GCD of given numbers 274, 705, 242, 367 is 1

2. How to calculate the greatest common divisor of 274, 705, 242, 367?

We can find the highest common divisor of 274, 705, 242, 367 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 274, 705, 242, 367 i.e 1.

3. How can I use the GCD of 274, 705, 242, 367Calculator?

Out the numbers 274, 705, 242, 367 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.