GCD of 338, 138, 364, 153 Calculator

Given Input numbers are 338, 138, 364, 153

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 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

GCD of numbers is the greatest common divisor

So, the GCD (338, 138, 364, 153) = 1.

Given numbers are 338, 138, 364, 153

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 138 are 2 x 3 x 23

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 153 are 3 x 3 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 338, 138, 364, 153

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

Apply this formula for all numbers.

Step1:

LCM(338, 138) = 23322

GCD(338, 138) = ( 338 x 138 ) / 23322

= 338 / 138

= 338

Step2:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

Step3:

LCM(2, 153) = 306

GCD(2, 153) = ( 2 x 153 ) / 306

= 2 / 153

= 2

So, Greatest Common Divisor of 338, 138, 364, 153 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 886, 885, 948, 661
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Given numbers are 338, 138, 364, 153
The greatest common divisor of numbers 338, 138, 364, 153 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 138, 364, 153 is 1.

1. What is the GCD of 338, 138, 364, 153?

GCD of given numbers 338, 138, 364, 153 is 1

2. How to calculate the greatest common divisor of 338, 138, 364, 153?

We can find the highest common divisor of 338, 138, 364, 153 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, 138, 364, 153 i.e 1.

3. How can I use the GCD of 338, 138, 364, 153Calculator?

Out the numbers 338, 138, 364, 153 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.