GCD of 240, 345, 616, 378 Calculator

Given Input numbers are 240, 345, 616, 378

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 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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

GCD of numbers is the greatest common divisor

So, the GCD (240, 345, 616, 378) = 1.

Given numbers are 240, 345, 616, 378

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 345 are 3 x 5 x 23

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

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

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

Given numbers are 240, 345, 616, 378

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

Apply this formula for all numbers.

Step1:

LCM(240, 345) = 5520

GCD(240, 345) = ( 240 x 345 ) / 5520

= 240 / 345

= 240

Step2:

LCM(15, 616) = 9240

GCD(15, 616) = ( 15 x 616 ) / 9240

= 15 / 616

= 15

Step3:

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

= 1 / 378

= 1

So, Greatest Common Divisor of 240, 345, 616, 378 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 958, 604, 233, 890
• GCD of 695, 722, 715, 237
• GCD of 843, 520, 703, 382
• GCD of 410, 477, 770, 143
• GCD of 219, 949, 558, 698

Given numbers are 240, 345, 616, 378
The greatest common divisor of numbers 240, 345, 616, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 345, 616, 378 is 1.

1. What is the GCD of 240, 345, 616, 378?

GCD of given numbers 240, 345, 616, 378 is 1

2. How to calculate the greatest common divisor of 240, 345, 616, 378?

We can find the highest common divisor of 240, 345, 616, 378 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, 345, 616, 378 i.e 1.

3. How can I use the GCD of 240, 345, 616, 378Calculator?

Out the numbers 240, 345, 616, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.