GCD of 240, 689, 714, 136 Calculator

Given Input numbers are 240, 689, 714, 136

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 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

GCD of numbers is the greatest common divisor

So, the GCD (240, 689, 714, 136) = 1.

Given numbers are 240, 689, 714, 136

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 689 are 13 x 53

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 136 are 2 x 2 x 2 x 17

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

Given numbers are 240, 689, 714, 136

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

Apply this formula for all numbers.

Step1:

LCM(240, 689) = 165360

GCD(240, 689) = ( 240 x 689 ) / 165360

= 240 / 689

= 240

Step2:

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

= 1 / 714

= 1

Step3:

LCM(1, 136) = 136

GCD(1, 136) = ( 1 x 136 ) / 136

= 1 / 136

= 1

So, Greatest Common Divisor of 240, 689, 714, 136 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 223, 542, 103, 237
• GCD of 411, 284, 127, 372
• GCD of 667, 407, 970, 179
• GCD of 807, 551, 394, 512
• GCD of 995, 456, 792, 317

Given numbers are 240, 689, 714, 136
The greatest common divisor of numbers 240, 689, 714, 136 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 689, 714, 136 is 1.

1. What is the GCD of 240, 689, 714, 136?

GCD of given numbers 240, 689, 714, 136 is 1

2. How to calculate the greatest common divisor of 240, 689, 714, 136?

We can find the highest common divisor of 240, 689, 714, 136 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, 689, 714, 136 i.e 1.

3. How can I use the GCD of 240, 689, 714, 136Calculator?

Out the numbers 240, 689, 714, 136 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.