GCD of 308, 198, 644, 146 Calculator

Given Input numbers are 308, 198, 644, 146

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

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 146 :

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

1, 2, 73, 146

GCD of numbers is the greatest common divisor

So, the GCD (308, 198, 644, 146) = 2.

Given numbers are 308, 198, 644, 146

The list of prime factors of all numbers are

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 146 are 2 x 73

The highest common occurrence is 2¹

Therefore, GCD of 308, 198, 644, 146 is 2.

Given numbers are 308, 198, 644, 146

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

Apply this formula for all numbers.

Step1:

LCM(308, 198) = 2772

GCD(308, 198) = ( 308 x 198 ) / 2772

= 308 / 198

= 308

Step2:

LCM(22, 644) = 7084

GCD(22, 644) = ( 22 x 644 ) / 7084

= 22 / 644

= 22

Step3:

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

= 2 / 146

= 2

So, Greatest Common Divisor of 308, 198, 644, 146 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 948, 672, 485, 216
• GCD of 953, 744, 876, 634
• GCD of 375, 511, 516, 935
• GCD of 102, 442, 644, 256
• GCD of 934, 580, 430, 658

Given numbers are 308, 198, 644, 146
The greatest common divisor of numbers 308, 198, 644, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 198, 644, 146 is 2.

1. What is the GCD of 308, 198, 644, 146?

GCD of given numbers 308, 198, 644, 146 is 2

2. How to calculate the greatest common divisor of 308, 198, 644, 146?

We can find the highest common divisor of 308, 198, 644, 146 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 308, 198, 644, 146 i.e 2.

3. How can I use the GCD of 308, 198, 644, 146Calculator?

Out the numbers 308, 198, 644, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.