GCD of 438, 148, 354, 164 Calculator

Given Input numbers are 438, 148, 354, 164

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

Divisors of 438 :

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

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

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

GCD of numbers is the greatest common divisor

So, the GCD (438, 148, 354, 164) = 2.

Given numbers are 438, 148, 354, 164

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 148 are 2 x 2 x 37

Prime factors of 354 are 2 x 3 x 59

Prime factors of 164 are 2 x 2 x 41

The highest common occurrence is 2¹

Therefore, GCD of 438, 148, 354, 164 is 2.

Given numbers are 438, 148, 354, 164

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

Apply this formula for all numbers.

Step1:

LCM(438, 148) = 32412

GCD(438, 148) = ( 438 x 148 ) / 32412

= 438 / 148

= 438

Step2:

LCM(2, 354) = 354

GCD(2, 354) = ( 2 x 354 ) / 354

= 2 / 354

= 2

Step3:

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

= 2 / 164

= 2

So, Greatest Common Divisor of 438, 148, 354, 164 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 349, 746, 859, 473
• GCD of 497, 101, 176, 849
• GCD of 328, 939, 366, 924
• GCD of 647, 129, 714, 397
• GCD of 591, 815, 991, 906

Given numbers are 438, 148, 354, 164
The greatest common divisor of numbers 438, 148, 354, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 148, 354, 164 is 2.

1. What is the GCD of 438, 148, 354, 164?

GCD of given numbers 438, 148, 354, 164 is 2

2. How to calculate the greatest common divisor of 438, 148, 354, 164?

We can find the highest common divisor of 438, 148, 354, 164 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 438, 148, 354, 164 i.e 2.

3. How can I use the GCD of 438, 148, 354, 164Calculator?

Out the numbers 438, 148, 354, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.