Online GCD Calculator is useful to find the GCD of 408, 762, 180, 350 quickly. Get the easiest ways to solve the greatest common divisor of 408, 762, 180, 350 i.e 2 in different methods as follows.
Given Input numbers are 408, 762, 180, 350
In the factoring method, we have to find the divisors of all numbers
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
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 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
GCD of numbers is the greatest common divisor
So, the GCD (408, 762, 180, 350) = 2.
Given numbers are 408, 762, 180, 350
The list of prime factors of all numbers are
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
Prime factors of 762 are 2 x 3 x 127
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 350 are 2 x 5 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 408, 762, 180, 350 is 2.
Given numbers are 408, 762, 180, 350
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(408, 762) = 51816
GCD(408, 762) = ( 408 x 762 ) / 51816
= 408 / 762
= 408
Step2:
LCM(6, 180) = 180
GCD(6, 180) = ( 6 x 180 ) / 180
= 6 / 180
= 6
Step3:
LCM(6, 350) = 1050
GCD(6, 350) = ( 6 x 350 ) / 1050
= 6 / 350
= 6
So, Greatest Common Divisor of 408, 762, 180, 350 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 408, 762, 180, 350
The greatest common divisor of numbers 408, 762, 180, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 762, 180, 350 is 2.
1. What is the GCD of 408, 762, 180, 350?
GCD of given numbers 408, 762, 180, 350 is 2
2. How to calculate the greatest common divisor of 408, 762, 180, 350?
We can find the highest common divisor of 408, 762, 180, 350 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 408, 762, 180, 350 i.e 2.
3. How can I use the GCD of 408, 762, 180, 350Calculator?
Out the numbers 408, 762, 180, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.