Online GCD Calculator is useful to find the GCD of 660, 906, 698, 902 quickly. Get the easiest ways to solve the greatest common divisor of 660, 906, 698, 902 i.e 2 in different methods as follows.
Given Input numbers are 660, 906, 698, 902
In the factoring method, we have to find the divisors of all numbers
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 906 :
The positive integer divisors of 906 that completely divides 906 are.
1, 2, 3, 6, 151, 302, 453, 906
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 902 :
The positive integer divisors of 902 that completely divides 902 are.
1, 2, 11, 22, 41, 82, 451, 902
GCD of numbers is the greatest common divisor
So, the GCD (660, 906, 698, 902) = 2.
Given numbers are 660, 906, 698, 902
The list of prime factors of all numbers are
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 906 are 2 x 3 x 151
Prime factors of 698 are 2 x 349
Prime factors of 902 are 2 x 11 x 41
The highest common occurrence is 21
Therefore, GCD of 660, 906, 698, 902 is 2.
Given numbers are 660, 906, 698, 902
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(660, 906) = 99660
GCD(660, 906) = ( 660 x 906 ) / 99660
= 660 / 906
= 660
Step2:
LCM(6, 698) = 2094
GCD(6, 698) = ( 6 x 698 ) / 2094
= 6 / 698
= 6
Step3:
LCM(2, 902) = 902
GCD(2, 902) = ( 2 x 902 ) / 902
= 2 / 902
= 2
So, Greatest Common Divisor of 660, 906, 698, 902 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 660, 906, 698, 902
The greatest common divisor of numbers 660, 906, 698, 902 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 906, 698, 902 is 2.
1. What is the GCD of 660, 906, 698, 902?
GCD of given numbers 660, 906, 698, 902 is 2
2. How to calculate the greatest common divisor of 660, 906, 698, 902?
We can find the highest common divisor of 660, 906, 698, 902 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 660, 906, 698, 902 i.e 2.
3. How can I use the GCD of 660, 906, 698, 902Calculator?
Out the numbers 660, 906, 698, 902 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.