Online GCD Calculator is useful to find the GCD of 690, 340, 994, 372 quickly. Get the easiest ways to solve the greatest common divisor of 690, 340, 994, 372 i.e 2 in different methods as follows.
Given Input numbers are 690, 340, 994, 372
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 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 994 :
The positive integer divisors of 994 that completely divides 994 are.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 372 :
The positive integer divisors of 372 that completely divides 372 are.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
GCD of numbers is the greatest common divisor
So, the GCD (690, 340, 994, 372) = 2.
Given numbers are 690, 340, 994, 372
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 994 are 2 x 7 x 71
Prime factors of 372 are 2 x 2 x 3 x 31
The highest common occurrence is 21
Therefore, GCD of 690, 340, 994, 372 is 2.
Given numbers are 690, 340, 994, 372
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 340) = 23460
GCD(690, 340) = ( 690 x 340 ) / 23460
= 690 / 340
= 690
Step2:
LCM(10, 994) = 4970
GCD(10, 994) = ( 10 x 994 ) / 4970
= 10 / 994
= 10
Step3:
LCM(2, 372) = 372
GCD(2, 372) = ( 2 x 372 ) / 372
= 2 / 372
= 2
So, Greatest Common Divisor of 690, 340, 994, 372 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 340, 994, 372
The greatest common divisor of numbers 690, 340, 994, 372 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 340, 994, 372 is 2.
1. What is the GCD of 690, 340, 994, 372?
GCD of given numbers 690, 340, 994, 372 is 2
2. How to calculate the greatest common divisor of 690, 340, 994, 372?
We can find the highest common divisor of 690, 340, 994, 372 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, 340, 994, 372 i.e 2.
3. How can I use the GCD of 690, 340, 994, 372Calculator?
Out the numbers 690, 340, 994, 372 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.