GCD of 238, 148, 289 Calculator

Given Input numbers are 238, 148, 289

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

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 148 :

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

1, 2, 4, 37, 74, 148

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (238, 148, 289) = 1.

Given numbers are 238, 148, 289

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 148 are 2 x 2 x 37

Prime factors of 289 are 17 x 17

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

Given numbers are 238, 148, 289

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

Apply this formula for all numbers.

Step1:

LCM(238, 148) = 17612

GCD(238, 148) = ( 238 x 148 ) / 17612

= 238 / 148

= 238

Step2:

LCM(2, 289) = 578

GCD(2, 289) = ( 2 x 289 ) / 578

= 2 / 289

= 2

So, Greatest Common Divisor of 238, 148, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 336, 742, 906
• GCD of 170, 499, 863
• GCD of 122, 501, 666
• GCD of 248, 326, 162
• GCD of 619, 788, 280

Given numbers are 238, 148, 289
The greatest common divisor of numbers 238, 148, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 148, 289 is 1.

1. What is the GCD of 238, 148, 289?

GCD of given numbers 238, 148, 289 is 1

2. How to calculate the greatest common divisor of 238, 148, 289?

We can find the highest common divisor of 238, 148, 289 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 238, 148, 289 i.e 1.

3. How can I use the GCD of 238, 148, 289Calculator?

Out the numbers 238, 148, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.