Online GCD Calculator is useful to find the GCD of 680, 687, 490, 768 quickly. Get the easiest ways to solve the greatest common divisor of 680, 687, 490, 768 i.e 1 in different methods as follows.
Given Input numbers are 680, 687, 490, 768
In the factoring method, we have to find the divisors of all numbers
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
GCD of numbers is the greatest common divisor
So, the GCD (680, 687, 490, 768) = 1.
Given numbers are 680, 687, 490, 768
The list of prime factors of all numbers are
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 687 are 3 x 229
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 680, 687, 490, 768
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 687) = 467160
GCD(680, 687) = ( 680 x 687 ) / 467160
= 680 / 687
= 680
Step2:
LCM(1, 490) = 490
GCD(1, 490) = ( 1 x 490 ) / 490
= 1 / 490
= 1
Step3:
LCM(1, 768) = 768
GCD(1, 768) = ( 1 x 768 ) / 768
= 1 / 768
= 1
So, Greatest Common Divisor of 680, 687, 490, 768 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 680, 687, 490, 768
The greatest common divisor of numbers 680, 687, 490, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 687, 490, 768 is 1.
1. What is the GCD of 680, 687, 490, 768?
GCD of given numbers 680, 687, 490, 768 is 1
2. How to calculate the greatest common divisor of 680, 687, 490, 768?
We can find the highest common divisor of 680, 687, 490, 768 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 680, 687, 490, 768 i.e 1.
3. How can I use the GCD of 680, 687, 490, 768Calculator?
Out the numbers 680, 687, 490, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.