GCD of 240, 378, 159, 914 Calculator

Given Input numbers are 240, 378, 159, 914

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

GCD of numbers is the greatest common divisor

So, the GCD (240, 378, 159, 914) = 1.

Given numbers are 240, 378, 159, 914

The list of prime factors of all numbers are

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 159 are 3 x 53

Prime factors of 914 are 2 x 457

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

Given numbers are 240, 378, 159, 914

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

Apply this formula for all numbers.

Step1:

LCM(240, 378) = 15120

GCD(240, 378) = ( 240 x 378 ) / 15120

= 240 / 378

= 240

Step2:

LCM(6, 159) = 318

GCD(6, 159) = ( 6 x 159 ) / 318

= 6 / 159

= 6

Step3:

LCM(3, 914) = 2742

GCD(3, 914) = ( 3 x 914 ) / 2742

= 3 / 914

= 3

So, Greatest Common Divisor of 240, 378, 159, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 846, 361, 701, 730
• GCD of 370, 995, 766, 158
• GCD of 933, 807, 667, 542
• GCD of 665, 199, 176, 110
• GCD of 632, 871, 463, 899

Given numbers are 240, 378, 159, 914
The greatest common divisor of numbers 240, 378, 159, 914 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 378, 159, 914 is 1.

1. What is the GCD of 240, 378, 159, 914?

GCD of given numbers 240, 378, 159, 914 is 1

2. How to calculate the greatest common divisor of 240, 378, 159, 914?

We can find the highest common divisor of 240, 378, 159, 914 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 240, 378, 159, 914 i.e 1.

3. How can I use the GCD of 240, 378, 159, 914Calculator?

Out the numbers 240, 378, 159, 914 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.