Online GCD Calculator is useful to find the GCD of 555, 420, 771, 135 quickly. Get the easiest ways to solve the greatest common divisor of 555, 420, 771, 135 i.e 3 in different methods as follows.
Given Input numbers are 555, 420, 771, 135
In the factoring method, we have to find the divisors of all numbers
Divisors of 555 :
The positive integer divisors of 555 that completely divides 555 are.
1, 3, 5, 15, 37, 111, 185, 555
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
GCD of numbers is the greatest common divisor
So, the GCD (555, 420, 771, 135) = 3.
Given numbers are 555, 420, 771, 135
The list of prime factors of all numbers are
Prime factors of 555 are 3 x 5 x 37
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 771 are 3 x 257
Prime factors of 135 are 3 x 3 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 555, 420, 771, 135 is 3.
Given numbers are 555, 420, 771, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(555, 420) = 15540
GCD(555, 420) = ( 555 x 420 ) / 15540
= 555 / 420
= 555
Step2:
LCM(15, 771) = 3855
GCD(15, 771) = ( 15 x 771 ) / 3855
= 15 / 771
= 15
Step3:
LCM(3, 135) = 135
GCD(3, 135) = ( 3 x 135 ) / 135
= 3 / 135
= 3
So, Greatest Common Divisor of 555, 420, 771, 135 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 555, 420, 771, 135
The greatest common divisor of numbers 555, 420, 771, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 555, 420, 771, 135 is 3.
1. What is the GCD of 555, 420, 771, 135?
GCD of given numbers 555, 420, 771, 135 is 3
2. How to calculate the greatest common divisor of 555, 420, 771, 135?
We can find the highest common divisor of 555, 420, 771, 135 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 555, 420, 771, 135 i.e 3.
3. How can I use the GCD of 555, 420, 771, 135Calculator?
Out the numbers 555, 420, 771, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.