Online GCD Calculator is useful to find the GCD of 144, 690, 507, 709 quickly. Get the easiest ways to solve the greatest common divisor of 144, 690, 507, 709 i.e 1 in different methods as follows.
Given Input numbers are 144, 690, 507, 709
In the factoring method, we have to find the divisors of all numbers
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
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 507 :
The positive integer divisors of 507 that completely divides 507 are.
1, 3, 13, 39, 169, 507
Divisors of 709 :
The positive integer divisors of 709 that completely divides 709 are.
1, 709
GCD of numbers is the greatest common divisor
So, the GCD (144, 690, 507, 709) = 1.
Given numbers are 144, 690, 507, 709
The list of prime factors of all numbers are
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 507 are 3 x 13 x 13
Prime factors of 709 are 709
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 144, 690, 507, 709
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(144, 690) = 16560
GCD(144, 690) = ( 144 x 690 ) / 16560
= 144 / 690
= 144
Step2:
LCM(6, 507) = 1014
GCD(6, 507) = ( 6 x 507 ) / 1014
= 6 / 507
= 6
Step3:
LCM(3, 709) = 2127
GCD(3, 709) = ( 3 x 709 ) / 2127
= 3 / 709
= 3
So, Greatest Common Divisor of 144, 690, 507, 709 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 144, 690, 507, 709
The greatest common divisor of numbers 144, 690, 507, 709 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 690, 507, 709 is 1.
1. What is the GCD of 144, 690, 507, 709?
GCD of given numbers 144, 690, 507, 709 is 1
2. How to calculate the greatest common divisor of 144, 690, 507, 709?
We can find the highest common divisor of 144, 690, 507, 709 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 144, 690, 507, 709 i.e 1.
3. How can I use the GCD of 144, 690, 507, 709Calculator?
Out the numbers 144, 690, 507, 709 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.