Online GCD Calculator is useful to find the GCD of 129, 946, 507, 690 quickly. Get the easiest ways to solve the greatest common divisor of 129, 946, 507, 690 i.e 1 in different methods as follows.
Given Input numbers are 129, 946, 507, 690
In the factoring method, we have to find the divisors of all numbers
Divisors of 129 :
The positive integer divisors of 129 that completely divides 129 are.
1, 3, 43, 129
Divisors of 946 :
The positive integer divisors of 946 that completely divides 946 are.
1, 2, 11, 22, 43, 86, 473, 946
Divisors of 507 :
The positive integer divisors of 507 that completely divides 507 are.
1, 3, 13, 39, 169, 507
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
GCD of numbers is the greatest common divisor
So, the GCD (129, 946, 507, 690) = 1.
Given numbers are 129, 946, 507, 690
The list of prime factors of all numbers are
Prime factors of 129 are 3 x 43
Prime factors of 946 are 2 x 11 x 43
Prime factors of 507 are 3 x 13 x 13
Prime factors of 690 are 2 x 3 x 5 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 129, 946, 507, 690
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(129, 946) = 2838
GCD(129, 946) = ( 129 x 946 ) / 2838
= 129 / 946
= 129
Step2:
LCM(43, 507) = 21801
GCD(43, 507) = ( 43 x 507 ) / 21801
= 43 / 507
= 43
Step3:
LCM(1, 690) = 690
GCD(1, 690) = ( 1 x 690 ) / 690
= 1 / 690
= 1
So, Greatest Common Divisor of 129, 946, 507, 690 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 129, 946, 507, 690
The greatest common divisor of numbers 129, 946, 507, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 129, 946, 507, 690 is 1.
1. What is the GCD of 129, 946, 507, 690?
GCD of given numbers 129, 946, 507, 690 is 1
2. How to calculate the greatest common divisor of 129, 946, 507, 690?
We can find the highest common divisor of 129, 946, 507, 690 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 129, 946, 507, 690 i.e 1.
3. How can I use the GCD of 129, 946, 507, 690Calculator?
Out the numbers 129, 946, 507, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.