Online GCD Calculator is useful to find the GCD of 120, 882, 400, 369 quickly. Get the easiest ways to solve the greatest common divisor of 120, 882, 400, 369 i.e 1 in different methods as follows.
Given Input numbers are 120, 882, 400, 369
In the factoring method, we have to find the divisors of all numbers
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 882 :
The positive integer divisors of 882 that completely divides 882 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
GCD of numbers is the greatest common divisor
So, the GCD (120, 882, 400, 369) = 1.
Given numbers are 120, 882, 400, 369
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 369 are 3 x 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 120, 882, 400, 369
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 882) = 17640
GCD(120, 882) = ( 120 x 882 ) / 17640
= 120 / 882
= 120
Step2:
LCM(6, 400) = 1200
GCD(6, 400) = ( 6 x 400 ) / 1200
= 6 / 400
= 6
Step3:
LCM(2, 369) = 738
GCD(2, 369) = ( 2 x 369 ) / 738
= 2 / 369
= 2
So, Greatest Common Divisor of 120, 882, 400, 369 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 882, 400, 369
The greatest common divisor of numbers 120, 882, 400, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 882, 400, 369 is 1.
1. What is the GCD of 120, 882, 400, 369?
GCD of given numbers 120, 882, 400, 369 is 1
2. How to calculate the greatest common divisor of 120, 882, 400, 369?
We can find the highest common divisor of 120, 882, 400, 369 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 120, 882, 400, 369 i.e 1.
3. How can I use the GCD of 120, 882, 400, 369Calculator?
Out the numbers 120, 882, 400, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.