GCD of 238, 560, 15 Calculator

Given Input numbers are 238, 560, 15

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 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 15 :

The positive integer divisors of 15 that completely divides 15 are.

1, 3, 5, 15

GCD of numbers is the greatest common divisor

So, the GCD (238, 560, 15) = 1.

Given numbers are 238, 560, 15

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 15 are 3 x 5

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

Given numbers are 238, 560, 15

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

Apply this formula for all numbers.

Step1:

LCM(238, 560) = 9520

GCD(238, 560) = ( 238 x 560 ) / 9520

= 238 / 560

= 238

Step2:

LCM(14, 15) = 210

GCD(14, 15) = ( 14 x 15 ) / 210

= 14 / 15

= 14

So, Greatest Common Divisor of 238, 560, 15 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 385, 557, 76
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• GCD of 253, 451, 83
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Given numbers are 238, 560, 15
The greatest common divisor of numbers 238, 560, 15 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 560, 15 is 1.

1. What is the GCD of 238, 560, 15?

GCD of given numbers 238, 560, 15 is 1

2. How to calculate the greatest common divisor of 238, 560, 15?

We can find the highest common divisor of 238, 560, 15 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, 560, 15 i.e 1.

3. How can I use the GCD of 238, 560, 15Calculator?

Out the numbers 238, 560, 15 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.