GCD of 126, 186, 244, 274 Calculator

Given Input numbers are 126, 186, 244, 274

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

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 186 :

The positive integer divisors of 186 that completely divides 186 are.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 244 :

The positive integer divisors of 244 that completely divides 244 are.

1, 2, 4, 61, 122, 244

Divisors of 274 :

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

1, 2, 137, 274

GCD of numbers is the greatest common divisor

So, the GCD (126, 186, 244, 274) = 2.

Given numbers are 126, 186, 244, 274

The list of prime factors of all numbers are

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 186 are 2 x 3 x 31

Prime factors of 244 are 2 x 2 x 61

Prime factors of 274 are 2 x 137

The highest common occurrence is 2¹

Therefore, GCD of 126, 186, 244, 274 is 2.

Given numbers are 126, 186, 244, 274

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

Apply this formula for all numbers.

Step1:

LCM(126, 186) = 3906

GCD(126, 186) = ( 126 x 186 ) / 3906

= 126 / 186

= 126

Step2:

LCM(6, 244) = 732

GCD(6, 244) = ( 6 x 244 ) / 732

= 6 / 244

= 6

Step3:

LCM(2, 274) = 274

GCD(2, 274) = ( 2 x 274 ) / 274

= 2 / 274

= 2

So, Greatest Common Divisor of 126, 186, 244, 274 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 962, 173, 777, 311
• GCD of 967, 508, 353, 126
• GCD of 300, 555, 565, 662
• GCD of 832, 836, 634, 976
• GCD of 623, 242, 419, 494

Given numbers are 126, 186, 244, 274
The greatest common divisor of numbers 126, 186, 244, 274 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 186, 244, 274 is 2.

1. What is the GCD of 126, 186, 244, 274?

GCD of given numbers 126, 186, 244, 274 is 2

2. How to calculate the greatest common divisor of 126, 186, 244, 274?

We can find the highest common divisor of 126, 186, 244, 274 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 126, 186, 244, 274 i.e 2.

3. How can I use the GCD of 126, 186, 244, 274Calculator?

Out the numbers 126, 186, 244, 274 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.