Online GCD Calculator is useful to find the GCD of 420, 120, 894, 397 quickly. Get the easiest ways to solve the greatest common divisor of 420, 120, 894, 397 i.e 1 in different methods as follows.
Given Input numbers are 420, 120, 894, 397
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 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 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 397 :
The positive integer divisors of 397 that completely divides 397 are.
1, 397
GCD of numbers is the greatest common divisor
So, the GCD (420, 120, 894, 397) = 1.
Given numbers are 420, 120, 894, 397
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 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 894 are 2 x 3 x 149
Prime factors of 397 are 397
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 420, 120, 894, 397
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 120) = 840
GCD(420, 120) = ( 420 x 120 ) / 840
= 420 / 120
= 420
Step2:
LCM(60, 894) = 8940
GCD(60, 894) = ( 60 x 894 ) / 8940
= 60 / 894
= 60
Step3:
LCM(6, 397) = 2382
GCD(6, 397) = ( 6 x 397 ) / 2382
= 6 / 397
= 6
So, Greatest Common Divisor of 420, 120, 894, 397 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 120, 894, 397
The greatest common divisor of numbers 420, 120, 894, 397 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 120, 894, 397 is 1.
1. What is the GCD of 420, 120, 894, 397?
GCD of given numbers 420, 120, 894, 397 is 1
2. How to calculate the greatest common divisor of 420, 120, 894, 397?
We can find the highest common divisor of 420, 120, 894, 397 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, 120, 894, 397 i.e 1.
3. How can I use the GCD of 420, 120, 894, 397Calculator?
Out the numbers 420, 120, 894, 397 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.