GCD of 274, 360, 273, 258 Calculator

Given Input numbers are 274, 360, 273, 258

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

GCD of numbers is the greatest common divisor

So, the GCD (274, 360, 273, 258) = 1.

Given numbers are 274, 360, 273, 258

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 273 are 3 x 7 x 13

Prime factors of 258 are 2 x 3 x 43

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

Given numbers are 274, 360, 273, 258

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

Apply this formula for all numbers.

Step1:

LCM(274, 360) = 49320

GCD(274, 360) = ( 274 x 360 ) / 49320

= 274 / 360

= 274

Step2:

LCM(2, 273) = 546

GCD(2, 273) = ( 2 x 273 ) / 546

= 2 / 273

= 2

Step3:

LCM(1, 258) = 258

GCD(1, 258) = ( 1 x 258 ) / 258

= 1 / 258

= 1

So, Greatest Common Divisor of 274, 360, 273, 258 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 381, 174, 562, 131
• GCD of 512, 357, 558, 291
• GCD of 242, 718, 440, 434
• GCD of 956, 540, 141, 495
• GCD of 130, 715, 852, 764

Given numbers are 274, 360, 273, 258
The greatest common divisor of numbers 274, 360, 273, 258 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 360, 273, 258 is 1.

1. What is the GCD of 274, 360, 273, 258?

GCD of given numbers 274, 360, 273, 258 is 1

2. How to calculate the greatest common divisor of 274, 360, 273, 258?

We can find the highest common divisor of 274, 360, 273, 258 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, 360, 273, 258 i.e 1.

3. How can I use the GCD of 274, 360, 273, 258Calculator?

Out the numbers 274, 360, 273, 258 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.