GCD of 299, 693, 307, 240 Calculator

Given Input numbers are 299, 693, 307, 240

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

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 307 :

The positive integer divisors of 307 that completely divides 307 are.

1, 307

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

GCD of numbers is the greatest common divisor

So, the GCD (299, 693, 307, 240) = 1.

Given numbers are 299, 693, 307, 240

The list of prime factors of all numbers are

Prime factors of 299 are 13 x 23

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 307 are 307

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

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

Given numbers are 299, 693, 307, 240

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

Apply this formula for all numbers.

Step1:

LCM(299, 693) = 207207

GCD(299, 693) = ( 299 x 693 ) / 207207

= 299 / 693

= 299

Step2:

LCM(1, 307) = 307

GCD(1, 307) = ( 1 x 307 ) / 307

= 1 / 307

= 1

Step3:

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

= 1 / 240

= 1

So, Greatest Common Divisor of 299, 693, 307, 240 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 697, 533, 987, 708
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Given numbers are 299, 693, 307, 240
The greatest common divisor of numbers 299, 693, 307, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 299, 693, 307, 240 is 1.

1. What is the GCD of 299, 693, 307, 240?

GCD of given numbers 299, 693, 307, 240 is 1

2. How to calculate the greatest common divisor of 299, 693, 307, 240?

We can find the highest common divisor of 299, 693, 307, 240 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 299, 693, 307, 240 i.e 1.

3. How can I use the GCD of 299, 693, 307, 240Calculator?

Out the numbers 299, 693, 307, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.