Online GCD Calculator is useful to find the GCD of 180, 614, 778, 507 quickly. Get the easiest ways to solve the greatest common divisor of 180, 614, 778, 507 i.e 1 in different methods as follows.
Given Input numbers are 180, 614, 778, 507
In the factoring method, we have to find the divisors of all numbers
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
Divisors of 778 :
The positive integer divisors of 778 that completely divides 778 are.
1, 2, 389, 778
Divisors of 507 :
The positive integer divisors of 507 that completely divides 507 are.
1, 3, 13, 39, 169, 507
GCD of numbers is the greatest common divisor
So, the GCD (180, 614, 778, 507) = 1.
Given numbers are 180, 614, 778, 507
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 614 are 2 x 307
Prime factors of 778 are 2 x 389
Prime factors of 507 are 3 x 13 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 180, 614, 778, 507
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 614) = 55260
GCD(180, 614) = ( 180 x 614 ) / 55260
= 180 / 614
= 180
Step2:
LCM(2, 778) = 778
GCD(2, 778) = ( 2 x 778 ) / 778
= 2 / 778
= 2
Step3:
LCM(2, 507) = 1014
GCD(2, 507) = ( 2 x 507 ) / 1014
= 2 / 507
= 2
So, Greatest Common Divisor of 180, 614, 778, 507 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 614, 778, 507
The greatest common divisor of numbers 180, 614, 778, 507 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 614, 778, 507 is 1.
1. What is the GCD of 180, 614, 778, 507?
GCD of given numbers 180, 614, 778, 507 is 1
2. How to calculate the greatest common divisor of 180, 614, 778, 507?
We can find the highest common divisor of 180, 614, 778, 507 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 180, 614, 778, 507 i.e 1.
3. How can I use the GCD of 180, 614, 778, 507Calculator?
Out the numbers 180, 614, 778, 507 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.