Online GCD Calculator is useful to find the GCD of 483, 177, 180, 840 quickly. Get the easiest ways to solve the greatest common divisor of 483, 177, 180, 840 i.e 3 in different methods as follows.
Given Input numbers are 483, 177, 180, 840
In the factoring method, we have to find the divisors of all numbers
Divisors of 483 :
The positive integer divisors of 483 that completely divides 483 are.
1, 3, 7, 21, 23, 69, 161, 483
Divisors of 177 :
The positive integer divisors of 177 that completely divides 177 are.
1, 3, 59, 177
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 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
GCD of numbers is the greatest common divisor
So, the GCD (483, 177, 180, 840) = 3.
Given numbers are 483, 177, 180, 840
The list of prime factors of all numbers are
Prime factors of 483 are 3 x 7 x 23
Prime factors of 177 are 3 x 59
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
The highest common occurrence is 31
Therefore, GCD of 483, 177, 180, 840 is 3.
Given numbers are 483, 177, 180, 840
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(483, 177) = 28497
GCD(483, 177) = ( 483 x 177 ) / 28497
= 483 / 177
= 483
Step2:
LCM(3, 180) = 180
GCD(3, 180) = ( 3 x 180 ) / 180
= 3 / 180
= 3
Step3:
LCM(3, 840) = 840
GCD(3, 840) = ( 3 x 840 ) / 840
= 3 / 840
= 3
So, Greatest Common Divisor of 483, 177, 180, 840 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 483, 177, 180, 840
The greatest common divisor of numbers 483, 177, 180, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 483, 177, 180, 840 is 3.
1. What is the GCD of 483, 177, 180, 840?
GCD of given numbers 483, 177, 180, 840 is 3
2. How to calculate the greatest common divisor of 483, 177, 180, 840?
We can find the highest common divisor of 483, 177, 180, 840 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 483, 177, 180, 840 i.e 3.
3. How can I use the GCD of 483, 177, 180, 840Calculator?
Out the numbers 483, 177, 180, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.