Online GCD Calculator is useful to find the GCD of 690, 339, 862, 916 quickly. Get the easiest ways to solve the greatest common divisor of 690, 339, 862, 916 i.e 1 in different methods as follows.
Given Input numbers are 690, 339, 862, 916
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 339 :
The positive integer divisors of 339 that completely divides 339 are.
1, 3, 113, 339
Divisors of 862 :
The positive integer divisors of 862 that completely divides 862 are.
1, 2, 431, 862
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
GCD of numbers is the greatest common divisor
So, the GCD (690, 339, 862, 916) = 1.
Given numbers are 690, 339, 862, 916
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 339 are 3 x 113
Prime factors of 862 are 2 x 431
Prime factors of 916 are 2 x 2 x 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 690, 339, 862, 916
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 339) = 77970
GCD(690, 339) = ( 690 x 339 ) / 77970
= 690 / 339
= 690
Step2:
LCM(3, 862) = 2586
GCD(3, 862) = ( 3 x 862 ) / 2586
= 3 / 862
= 3
Step3:
LCM(1, 916) = 916
GCD(1, 916) = ( 1 x 916 ) / 916
= 1 / 916
= 1
So, Greatest Common Divisor of 690, 339, 862, 916 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 339, 862, 916
The greatest common divisor of numbers 690, 339, 862, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 339, 862, 916 is 1.
1. What is the GCD of 690, 339, 862, 916?
GCD of given numbers 690, 339, 862, 916 is 1
2. How to calculate the greatest common divisor of 690, 339, 862, 916?
We can find the highest common divisor of 690, 339, 862, 916 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, 339, 862, 916 i.e 1.
3. How can I use the GCD of 690, 339, 862, 916Calculator?
Out the numbers 690, 339, 862, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.