GCD of 238, 102, 169, 318 Calculator

Given Input numbers are 238, 102, 169, 318

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 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

GCD of numbers is the greatest common divisor

So, the GCD (238, 102, 169, 318) = 1.

Given numbers are 238, 102, 169, 318

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 102 are 2 x 3 x 17

Prime factors of 169 are 13 x 13

Prime factors of 318 are 2 x 3 x 53

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

Given numbers are 238, 102, 169, 318

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

Apply this formula for all numbers.

Step1:

LCM(238, 102) = 714

GCD(238, 102) = ( 238 x 102 ) / 714

= 238 / 102

= 238

Step2:

LCM(34, 169) = 5746

GCD(34, 169) = ( 34 x 169 ) / 5746

= 34 / 169

= 34

Step3:

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

= 1 / 318

= 1

So, Greatest Common Divisor of 238, 102, 169, 318 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 452, 644, 763, 324
• GCD of 990, 569, 610, 621
• GCD of 246, 903, 720, 500
• GCD of 508, 117, 757, 305
• GCD of 783, 245, 410, 588

Given numbers are 238, 102, 169, 318
The greatest common divisor of numbers 238, 102, 169, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 102, 169, 318 is 1.

1. What is the GCD of 238, 102, 169, 318?

GCD of given numbers 238, 102, 169, 318 is 1

2. How to calculate the greatest common divisor of 238, 102, 169, 318?

We can find the highest common divisor of 238, 102, 169, 318 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, 102, 169, 318 i.e 1.

3. How can I use the GCD of 238, 102, 169, 318Calculator?

Out the numbers 238, 102, 169, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.