GCD of 308, 432, 948, 226 Calculator

Given Input numbers are 308, 432, 948, 226

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 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

GCD of numbers is the greatest common divisor

So, the GCD (308, 432, 948, 226) = 2.

Given numbers are 308, 432, 948, 226

The list of prime factors of all numbers are

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

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 226 are 2 x 113

The highest common occurrence is 2¹

Therefore, GCD of 308, 432, 948, 226 is 2.

Given numbers are 308, 432, 948, 226

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

Apply this formula for all numbers.

Step1:

LCM(308, 432) = 33264

GCD(308, 432) = ( 308 x 432 ) / 33264

= 308 / 432

= 308

Step2:

LCM(4, 948) = 948

GCD(4, 948) = ( 4 x 948 ) / 948

= 4 / 948

= 4

Step3:

LCM(4, 226) = 452

GCD(4, 226) = ( 4 x 226 ) / 452

= 4 / 226

= 4

So, Greatest Common Divisor of 308, 432, 948, 226 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 972, 816, 158, 611
• GCD of 140, 156, 272, 315
• GCD of 938, 390, 372, 134
• GCD of 520, 872, 249, 701
• GCD of 945, 485, 571, 359

Given numbers are 308, 432, 948, 226
The greatest common divisor of numbers 308, 432, 948, 226 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 432, 948, 226 is 2.

1. What is the GCD of 308, 432, 948, 226?

GCD of given numbers 308, 432, 948, 226 is 2

2. How to calculate the greatest common divisor of 308, 432, 948, 226?

We can find the highest common divisor of 308, 432, 948, 226 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, 432, 948, 226 i.e 2.

3. How can I use the GCD of 308, 432, 948, 226Calculator?

Out the numbers 308, 432, 948, 226 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.