Online GCD Calculator is useful to find the GCD of 690, 940, 170 quickly. Get the easiest ways to solve the greatest common divisor of 690, 940, 170 i.e 10 in different methods as follows.
Given Input numbers are 690, 940, 170
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 940 :
The positive integer divisors of 940 that completely divides 940 are.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
GCD of numbers is the greatest common divisor
So, the GCD (690, 940, 170) = 10.
Given numbers are 690, 940, 170
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 170 are 2 x 5 x 17
The highest common occurrence is 21 x 51
Therefore, GCD of 690, 940, 170 is 10.
Given numbers are 690, 940, 170
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 940) = 64860
GCD(690, 940) = ( 690 x 940 ) / 64860
= 690 / 940
= 690
Step2:
LCM(10, 170) = 170
GCD(10, 170) = ( 10 x 170 ) / 170
= 10 / 170
= 10
So, Greatest Common Divisor of 690, 940, 170 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 940, 170
The greatest common divisor of numbers 690, 940, 170 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 940, 170 is 10.
1. What is the GCD of 690, 940, 170?
GCD of given numbers 690, 940, 170 is 10
2. How to calculate the greatest common divisor of 690, 940, 170?
We can find the highest common divisor of 690, 940, 170 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, 940, 170 i.e 10.
3. How can I use the GCD of 690, 940, 170Calculator?
Out the numbers 690, 940, 170 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.