Online GCD Calculator is useful to find the GCD of 670, 120, 612, 894 quickly. Get the easiest ways to solve the greatest common divisor of 670, 120, 612, 894 i.e 2 in different methods as follows.
Given Input numbers are 670, 120, 612, 894
In the factoring method, we have to find the divisors of all numbers
Divisors of 670 :
The positive integer divisors of 670 that completely divides 670 are.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
GCD of numbers is the greatest common divisor
So, the GCD (670, 120, 612, 894) = 2.
Given numbers are 670, 120, 612, 894
The list of prime factors of all numbers are
Prime factors of 670 are 2 x 5 x 67
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 894 are 2 x 3 x 149
The highest common occurrence is 21
Therefore, GCD of 670, 120, 612, 894 is 2.
Given numbers are 670, 120, 612, 894
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(670, 120) = 8040
GCD(670, 120) = ( 670 x 120 ) / 8040
= 670 / 120
= 670
Step2:
LCM(10, 612) = 3060
GCD(10, 612) = ( 10 x 612 ) / 3060
= 10 / 612
= 10
Step3:
LCM(2, 894) = 894
GCD(2, 894) = ( 2 x 894 ) / 894
= 2 / 894
= 2
So, Greatest Common Divisor of 670, 120, 612, 894 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 670, 120, 612, 894
The greatest common divisor of numbers 670, 120, 612, 894 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 670, 120, 612, 894 is 2.
1. What is the GCD of 670, 120, 612, 894?
GCD of given numbers 670, 120, 612, 894 is 2
2. How to calculate the greatest common divisor of 670, 120, 612, 894?
We can find the highest common divisor of 670, 120, 612, 894 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 670, 120, 612, 894 i.e 2.
3. How can I use the GCD of 670, 120, 612, 894Calculator?
Out the numbers 670, 120, 612, 894 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.