GCD of 240, 705, 361, 807 Calculator

Given Input numbers are 240, 705, 361, 807

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 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 807 :

The positive integer divisors of 807 that completely divides 807 are.

1, 3, 269, 807

GCD of numbers is the greatest common divisor

So, the GCD (240, 705, 361, 807) = 1.

Given numbers are 240, 705, 361, 807

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 705 are 3 x 5 x 47

Prime factors of 361 are 19 x 19

Prime factors of 807 are 3 x 269

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

Given numbers are 240, 705, 361, 807

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

Apply this formula for all numbers.

Step1:

LCM(240, 705) = 11280

GCD(240, 705) = ( 240 x 705 ) / 11280

= 240 / 705

= 240

Step2:

LCM(15, 361) = 5415

GCD(15, 361) = ( 15 x 361 ) / 5415

= 15 / 361

= 15

Step3:

LCM(1, 807) = 807

GCD(1, 807) = ( 1 x 807 ) / 807

= 1 / 807

= 1

So, Greatest Common Divisor of 240, 705, 361, 807 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 327, 310, 950, 820
• GCD of 370, 261, 781, 529
• GCD of 328, 975, 569, 144
• GCD of 887, 303, 127, 941
• GCD of 741, 202, 383, 285

Given numbers are 240, 705, 361, 807
The greatest common divisor of numbers 240, 705, 361, 807 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 705, 361, 807 is 1.

1. What is the GCD of 240, 705, 361, 807?

GCD of given numbers 240, 705, 361, 807 is 1

2. How to calculate the greatest common divisor of 240, 705, 361, 807?

We can find the highest common divisor of 240, 705, 361, 807 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, 705, 361, 807 i.e 1.

3. How can I use the GCD of 240, 705, 361, 807Calculator?

Out the numbers 240, 705, 361, 807 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.