Online GCD Calculator is useful to find the GCD of 690, 374, 346, 861 quickly. Get the easiest ways to solve the greatest common divisor of 690, 374, 346, 861 i.e 1 in different methods as follows.
Given Input numbers are 690, 374, 346, 861
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 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 346 :
The positive integer divisors of 346 that completely divides 346 are.
1, 2, 173, 346
Divisors of 861 :
The positive integer divisors of 861 that completely divides 861 are.
1, 3, 7, 21, 41, 123, 287, 861
GCD of numbers is the greatest common divisor
So, the GCD (690, 374, 346, 861) = 1.
Given numbers are 690, 374, 346, 861
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 374 are 2 x 11 x 17
Prime factors of 346 are 2 x 173
Prime factors of 861 are 3 x 7 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 690, 374, 346, 861
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 374) = 129030
GCD(690, 374) = ( 690 x 374 ) / 129030
= 690 / 374
= 690
Step2:
LCM(2, 346) = 346
GCD(2, 346) = ( 2 x 346 ) / 346
= 2 / 346
= 2
Step3:
LCM(2, 861) = 1722
GCD(2, 861) = ( 2 x 861 ) / 1722
= 2 / 861
= 2
So, Greatest Common Divisor of 690, 374, 346, 861 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 374, 346, 861
The greatest common divisor of numbers 690, 374, 346, 861 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 374, 346, 861 is 1.
1. What is the GCD of 690, 374, 346, 861?
GCD of given numbers 690, 374, 346, 861 is 1
2. How to calculate the greatest common divisor of 690, 374, 346, 861?
We can find the highest common divisor of 690, 374, 346, 861 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, 374, 346, 861 i.e 1.
3. How can I use the GCD of 690, 374, 346, 861Calculator?
Out the numbers 690, 374, 346, 861 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.