Online GCD Calculator is useful to find the GCD of 690, 838, 177, 660 quickly. Get the easiest ways to solve the greatest common divisor of 690, 838, 177, 660 i.e 1 in different methods as follows.
Given Input numbers are 690, 838, 177, 660
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 838 :
The positive integer divisors of 838 that completely divides 838 are.
1, 2, 419, 838
Divisors of 177 :
The positive integer divisors of 177 that completely divides 177 are.
1, 3, 59, 177
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
GCD of numbers is the greatest common divisor
So, the GCD (690, 838, 177, 660) = 1.
Given numbers are 690, 838, 177, 660
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 838 are 2 x 419
Prime factors of 177 are 3 x 59
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 690, 838, 177, 660
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 838) = 289110
GCD(690, 838) = ( 690 x 838 ) / 289110
= 690 / 838
= 690
Step2:
LCM(2, 177) = 354
GCD(2, 177) = ( 2 x 177 ) / 354
= 2 / 177
= 2
Step3:
LCM(1, 660) = 660
GCD(1, 660) = ( 1 x 660 ) / 660
= 1 / 660
= 1
So, Greatest Common Divisor of 690, 838, 177, 660 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 838, 177, 660
The greatest common divisor of numbers 690, 838, 177, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 838, 177, 660 is 1.
1. What is the GCD of 690, 838, 177, 660?
GCD of given numbers 690, 838, 177, 660 is 1
2. How to calculate the greatest common divisor of 690, 838, 177, 660?
We can find the highest common divisor of 690, 838, 177, 660 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, 838, 177, 660 i.e 1.
3. How can I use the GCD of 690, 838, 177, 660Calculator?
Out the numbers 690, 838, 177, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.