GCD of 338, 270, 952, 164 Calculator

Given Input numbers are 338, 270, 952, 164

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

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

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 (338, 270, 952, 164) = 2.

Given numbers are 338, 270, 952, 164

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 164 are 2 x 2 x 41

The highest common occurrence is 2¹

Therefore, GCD of 338, 270, 952, 164 is 2.

Given numbers are 338, 270, 952, 164

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

Apply this formula for all numbers.

Step1:

LCM(338, 270) = 45630

GCD(338, 270) = ( 338 x 270 ) / 45630

= 338 / 270

= 338

Step2:

LCM(2, 952) = 952

GCD(2, 952) = ( 2 x 952 ) / 952

= 2 / 952

= 2

Step3:

LCM(2, 164) = 164

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

= 2 / 164

= 2

So, Greatest Common Divisor of 338, 270, 952, 164 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 870, 660, 460, 450
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• GCD of 874, 261, 419, 957

Given numbers are 338, 270, 952, 164
The greatest common divisor of numbers 338, 270, 952, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 270, 952, 164 is 2.

1. What is the GCD of 338, 270, 952, 164?

GCD of given numbers 338, 270, 952, 164 is 2

2. How to calculate the greatest common divisor of 338, 270, 952, 164?

We can find the highest common divisor of 338, 270, 952, 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 338, 270, 952, 164 i.e 2.

3. How can I use the GCD of 338, 270, 952, 164Calculator?

Out the numbers 338, 270, 952, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.