GCD of 240, 978, 159, 774 Calculator

Given Input numbers are 240, 978, 159, 774

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 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 159 :

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

1, 3, 53, 159

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

GCD of numbers is the greatest common divisor

So, the GCD (240, 978, 159, 774) = 3.

Given numbers are 240, 978, 159, 774

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 978 are 2 x 3 x 163

Prime factors of 159 are 3 x 53

Prime factors of 774 are 2 x 3 x 3 x 43

The highest common occurrence is 3¹

Therefore, GCD of 240, 978, 159, 774 is 3.

Given numbers are 240, 978, 159, 774

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

Apply this formula for all numbers.

Step1:

LCM(240, 978) = 39120

GCD(240, 978) = ( 240 x 978 ) / 39120

= 240 / 978

= 240

Step2:

LCM(6, 159) = 318

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

= 6 / 159

= 6

Step3:

LCM(3, 774) = 774

GCD(3, 774) = ( 3 x 774 ) / 774

= 3 / 774

= 3

So, Greatest Common Divisor of 240, 978, 159, 774 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 328, 355, 339, 571
• GCD of 880, 567, 994, 692
• GCD of 674, 333, 478, 482
• GCD of 990, 903, 256, 562
• GCD of 930, 319, 469, 995

Given numbers are 240, 978, 159, 774
The greatest common divisor of numbers 240, 978, 159, 774 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 978, 159, 774 is 3.

1. What is the GCD of 240, 978, 159, 774?

GCD of given numbers 240, 978, 159, 774 is 3

2. How to calculate the greatest common divisor of 240, 978, 159, 774?

We can find the highest common divisor of 240, 978, 159, 774 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, 978, 159, 774 i.e 3.

3. How can I use the GCD of 240, 978, 159, 774Calculator?

Out the numbers 240, 978, 159, 774 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.