Online GCD Calculator is useful to find the GCD of 420, 867, 399, 195 quickly. Get the easiest ways to solve the greatest common divisor of 420, 867, 399, 195 i.e 3 in different methods as follows.
Given Input numbers are 420, 867, 399, 195
In the factoring method, we have to find the divisors of all numbers
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 867 :
The positive integer divisors of 867 that completely divides 867 are.
1, 3, 17, 51, 289, 867
Divisors of 399 :
The positive integer divisors of 399 that completely divides 399 are.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 195 :
The positive integer divisors of 195 that completely divides 195 are.
1, 3, 5, 13, 15, 39, 65, 195
GCD of numbers is the greatest common divisor
So, the GCD (420, 867, 399, 195) = 3.
Given numbers are 420, 867, 399, 195
The list of prime factors of all numbers are
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 867 are 3 x 17 x 17
Prime factors of 399 are 3 x 7 x 19
Prime factors of 195 are 3 x 5 x 13
The highest common occurrence is 31
Therefore, GCD of 420, 867, 399, 195 is 3.
Given numbers are 420, 867, 399, 195
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 867) = 121380
GCD(420, 867) = ( 420 x 867 ) / 121380
= 420 / 867
= 420
Step2:
LCM(3, 399) = 399
GCD(3, 399) = ( 3 x 399 ) / 399
= 3 / 399
= 3
Step3:
LCM(3, 195) = 195
GCD(3, 195) = ( 3 x 195 ) / 195
= 3 / 195
= 3
So, Greatest Common Divisor of 420, 867, 399, 195 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 867, 399, 195
The greatest common divisor of numbers 420, 867, 399, 195 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 867, 399, 195 is 3.
1. What is the GCD of 420, 867, 399, 195?
GCD of given numbers 420, 867, 399, 195 is 3
2. How to calculate the greatest common divisor of 420, 867, 399, 195?
We can find the highest common divisor of 420, 867, 399, 195 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 420, 867, 399, 195 i.e 3.
3. How can I use the GCD of 420, 867, 399, 195Calculator?
Out the numbers 420, 867, 399, 195 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.