GCD of 146, 274, 936, 638 Calculator

Given Input numbers are 146, 274, 936, 638

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

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 274 :

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

1, 2, 137, 274

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

GCD of numbers is the greatest common divisor

So, the GCD (146, 274, 936, 638) = 2.

Given numbers are 146, 274, 936, 638

The list of prime factors of all numbers are

Prime factors of 146 are 2 x 73

Prime factors of 274 are 2 x 137

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 638 are 2 x 11 x 29

The highest common occurrence is 2¹

Therefore, GCD of 146, 274, 936, 638 is 2.

Given numbers are 146, 274, 936, 638

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

Apply this formula for all numbers.

Step1:

LCM(146, 274) = 20002

GCD(146, 274) = ( 146 x 274 ) / 20002

= 146 / 274

= 146

Step2:

LCM(2, 936) = 936

GCD(2, 936) = ( 2 x 936 ) / 936

= 2 / 936

= 2

Step3:

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

= 2 / 638

= 2

So, Greatest Common Divisor of 146, 274, 936, 638 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 432, 752, 319
• GCD of 591, 236, 454, 468
• GCD of 303, 218, 261, 117
• GCD of 619, 472, 851, 389
• GCD of 175, 757, 988, 583

Given numbers are 146, 274, 936, 638
The greatest common divisor of numbers 146, 274, 936, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 146, 274, 936, 638 is 2.

1. What is the GCD of 146, 274, 936, 638?

GCD of given numbers 146, 274, 936, 638 is 2

2. How to calculate the greatest common divisor of 146, 274, 936, 638?

We can find the highest common divisor of 146, 274, 936, 638 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 146, 274, 936, 638 i.e 2.

3. How can I use the GCD of 146, 274, 936, 638Calculator?

Out the numbers 146, 274, 936, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.