Online GCD Calculator is useful to find the GCD of 678, 142, 213, 689 quickly. Get the easiest ways to solve the greatest common divisor of 678, 142, 213, 689 i.e 1 in different methods as follows.
Given Input numbers are 678, 142, 213, 689
In the factoring method, we have to find the divisors of all numbers
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
GCD of numbers is the greatest common divisor
So, the GCD (678, 142, 213, 689) = 1.
Given numbers are 678, 142, 213, 689
The list of prime factors of all numbers are
Prime factors of 678 are 2 x 3 x 113
Prime factors of 142 are 2 x 71
Prime factors of 213 are 3 x 71
Prime factors of 689 are 13 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 678, 142, 213, 689
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(678, 142) = 48138
GCD(678, 142) = ( 678 x 142 ) / 48138
= 678 / 142
= 678
Step2:
LCM(2, 213) = 426
GCD(2, 213) = ( 2 x 213 ) / 426
= 2 / 213
= 2
Step3:
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
= 1 / 689
= 1
So, Greatest Common Divisor of 678, 142, 213, 689 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 678, 142, 213, 689
The greatest common divisor of numbers 678, 142, 213, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 142, 213, 689 is 1.
1. What is the GCD of 678, 142, 213, 689?
GCD of given numbers 678, 142, 213, 689 is 1
2. How to calculate the greatest common divisor of 678, 142, 213, 689?
We can find the highest common divisor of 678, 142, 213, 689 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 678, 142, 213, 689 i.e 1.
3. How can I use the GCD of 678, 142, 213, 689Calculator?
Out the numbers 678, 142, 213, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.