Online GCD Calculator is useful to find the GCD of 240, 688, 655, 687 quickly. Get the easiest ways to solve the greatest common divisor of 240, 688, 655, 687 i.e 1 in different methods as follows.
Given Input numbers are 240, 688, 655, 687
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 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 655 :
The positive integer divisors of 655 that completely divides 655 are.
1, 5, 131, 655
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
GCD of numbers is the greatest common divisor
So, the GCD (240, 688, 655, 687) = 1.
Given numbers are 240, 688, 655, 687
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 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 655 are 5 x 131
Prime factors of 687 are 3 x 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 240, 688, 655, 687
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(240, 688) = 10320
GCD(240, 688) = ( 240 x 688 ) / 10320
= 240 / 688
= 240
Step2:
LCM(16, 655) = 10480
GCD(16, 655) = ( 16 x 655 ) / 10480
= 16 / 655
= 16
Step3:
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
= 1 / 687
= 1
So, Greatest Common Divisor of 240, 688, 655, 687 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 240, 688, 655, 687
The greatest common divisor of numbers 240, 688, 655, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 688, 655, 687 is 1.
1. What is the GCD of 240, 688, 655, 687?
GCD of given numbers 240, 688, 655, 687 is 1
2. How to calculate the greatest common divisor of 240, 688, 655, 687?
We can find the highest common divisor of 240, 688, 655, 687 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, 688, 655, 687 i.e 1.
3. How can I use the GCD of 240, 688, 655, 687Calculator?
Out the numbers 240, 688, 655, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.