Online GCD Calculator is useful to find the GCD of 690, 868, 352, 217 quickly. Get the easiest ways to solve the greatest common divisor of 690, 868, 352, 217 i.e 1 in different methods as follows.
Given Input numbers are 690, 868, 352, 217
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 868 :
The positive integer divisors of 868 that completely divides 868 are.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 217 :
The positive integer divisors of 217 that completely divides 217 are.
1, 7, 31, 217
GCD of numbers is the greatest common divisor
So, the GCD (690, 868, 352, 217) = 1.
Given numbers are 690, 868, 352, 217
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 868 are 2 x 2 x 7 x 31
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 217 are 7 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 690, 868, 352, 217
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 868) = 299460
GCD(690, 868) = ( 690 x 868 ) / 299460
= 690 / 868
= 690
Step2:
LCM(2, 352) = 352
GCD(2, 352) = ( 2 x 352 ) / 352
= 2 / 352
= 2
Step3:
LCM(2, 217) = 434
GCD(2, 217) = ( 2 x 217 ) / 434
= 2 / 217
= 2
So, Greatest Common Divisor of 690, 868, 352, 217 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 868, 352, 217
The greatest common divisor of numbers 690, 868, 352, 217 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 868, 352, 217 is 1.
1. What is the GCD of 690, 868, 352, 217?
GCD of given numbers 690, 868, 352, 217 is 1
2. How to calculate the greatest common divisor of 690, 868, 352, 217?
We can find the highest common divisor of 690, 868, 352, 217 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, 868, 352, 217 i.e 1.
3. How can I use the GCD of 690, 868, 352, 217Calculator?
Out the numbers 690, 868, 352, 217 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.