Online GCD Calculator is useful to find the GCD of 680, 698, 772, 423 quickly. Get the easiest ways to solve the greatest common divisor of 680, 698, 772, 423 i.e 1 in different methods as follows.
Given Input numbers are 680, 698, 772, 423
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 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
GCD of numbers is the greatest common divisor
So, the GCD (680, 698, 772, 423) = 1.
Given numbers are 680, 698, 772, 423
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 698 are 2 x 349
Prime factors of 772 are 2 x 2 x 193
Prime factors of 423 are 3 x 3 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 680, 698, 772, 423
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 698) = 237320
GCD(680, 698) = ( 680 x 698 ) / 237320
= 680 / 698
= 680
Step2:
LCM(2, 772) = 772
GCD(2, 772) = ( 2 x 772 ) / 772
= 2 / 772
= 2
Step3:
LCM(2, 423) = 846
GCD(2, 423) = ( 2 x 423 ) / 846
= 2 / 423
= 2
So, Greatest Common Divisor of 680, 698, 772, 423 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 680, 698, 772, 423
The greatest common divisor of numbers 680, 698, 772, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 698, 772, 423 is 1.
1. What is the GCD of 680, 698, 772, 423?
GCD of given numbers 680, 698, 772, 423 is 1
2. How to calculate the greatest common divisor of 680, 698, 772, 423?
We can find the highest common divisor of 680, 698, 772, 423 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, 698, 772, 423 i.e 1.
3. How can I use the GCD of 680, 698, 772, 423Calculator?
Out the numbers 680, 698, 772, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.