Online GCD Calculator is useful to find the GCD of 690, 814, 213, 310 quickly. Get the easiest ways to solve the greatest common divisor of 690, 814, 213, 310 i.e 1 in different methods as follows.
Given Input numbers are 690, 814, 213, 310
In the factoring method, we have to find the divisors of all numbers
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
GCD of numbers is the greatest common divisor
So, the GCD (690, 814, 213, 310) = 1.
Given numbers are 690, 814, 213, 310
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 814 are 2 x 11 x 37
Prime factors of 213 are 3 x 71
Prime factors of 310 are 2 x 5 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 690, 814, 213, 310
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 814) = 280830
GCD(690, 814) = ( 690 x 814 ) / 280830
= 690 / 814
= 690
Step2:
LCM(2, 213) = 426
GCD(2, 213) = ( 2 x 213 ) / 426
= 2 / 213
= 2
Step3:
LCM(1, 310) = 310
GCD(1, 310) = ( 1 x 310 ) / 310
= 1 / 310
= 1
So, Greatest Common Divisor of 690, 814, 213, 310 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 814, 213, 310
The greatest common divisor of numbers 690, 814, 213, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 814, 213, 310 is 1.
1. What is the GCD of 690, 814, 213, 310?
GCD of given numbers 690, 814, 213, 310 is 1
2. How to calculate the greatest common divisor of 690, 814, 213, 310?
We can find the highest common divisor of 690, 814, 213, 310 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 690, 814, 213, 310 i.e 1.
3. How can I use the GCD of 690, 814, 213, 310Calculator?
Out the numbers 690, 814, 213, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.