GCD of 274, 116, 590, 438 Calculator

Given Input numbers are 274, 116, 590, 438

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 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (274, 116, 590, 438) = 2.

Given numbers are 274, 116, 590, 438

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

Prime factors of 116 are 2 x 2 x 29

Prime factors of 590 are 2 x 5 x 59

Prime factors of 438 are 2 x 3 x 73

The highest common occurrence is 2¹

Therefore, GCD of 274, 116, 590, 438 is 2.

Given numbers are 274, 116, 590, 438

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

Apply this formula for all numbers.

Step1:

LCM(274, 116) = 15892

GCD(274, 116) = ( 274 x 116 ) / 15892

= 274 / 116

= 274

Step2:

LCM(2, 590) = 590

GCD(2, 590) = ( 2 x 590 ) / 590

= 2 / 590

= 2

Step3:

LCM(2, 438) = 438

GCD(2, 438) = ( 2 x 438 ) / 438

= 2 / 438

= 2

So, Greatest Common Divisor of 274, 116, 590, 438 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 686, 220, 485, 418
• GCD of 100, 908, 757, 384
• GCD of 410, 217, 838, 545
• GCD of 762, 537, 471, 324
• GCD of 118, 199, 392, 931

Given numbers are 274, 116, 590, 438
The greatest common divisor of numbers 274, 116, 590, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 116, 590, 438 is 2.

1. What is the GCD of 274, 116, 590, 438?

GCD of given numbers 274, 116, 590, 438 is 2

2. How to calculate the greatest common divisor of 274, 116, 590, 438?

We can find the highest common divisor of 274, 116, 590, 438 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, 116, 590, 438 i.e 2.

3. How can I use the GCD of 274, 116, 590, 438Calculator?

Out the numbers 274, 116, 590, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.