GCD of 338, 345, 60, 158 Calculator

Given Input numbers are 338, 345, 60, 158

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 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 158 :

The positive integer divisors of 158 that completely divides 158 are.

1, 2, 79, 158

GCD of numbers is the greatest common divisor

So, the GCD (338, 345, 60, 158) = 1.

Given numbers are 338, 345, 60, 158

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 345 are 3 x 5 x 23

Prime factors of 60 are 2 x 2 x 3 x 5

Prime factors of 158 are 2 x 79

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

Given numbers are 338, 345, 60, 158

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

Apply this formula for all numbers.

Step1:

LCM(338, 345) = 116610

GCD(338, 345) = ( 338 x 345 ) / 116610

= 338 / 345

= 338

Step2:

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

= 1 / 60

= 1

Step3:

LCM(1, 158) = 158

GCD(1, 158) = ( 1 x 158 ) / 158

= 1 / 158

= 1

So, Greatest Common Divisor of 338, 345, 60, 158 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 896, 199, 66, 133
• GCD of 311, 490, 45, 754
• GCD of 918, 251, 55, 427
• GCD of 978, 260, 20, 258
• GCD of 418, 333, 74, 902

Given numbers are 338, 345, 60, 158
The greatest common divisor of numbers 338, 345, 60, 158 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 345, 60, 158 is 1.

1. What is the GCD of 338, 345, 60, 158?

GCD of given numbers 338, 345, 60, 158 is 1

2. How to calculate the greatest common divisor of 338, 345, 60, 158?

We can find the highest common divisor of 338, 345, 60, 158 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, 345, 60, 158 i.e 1.

3. How can I use the GCD of 338, 345, 60, 158Calculator?

Out the numbers 338, 345, 60, 158 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.