Online GCD Calculator is useful to find the GCD of 420, 310, 197, 726 quickly. Get the easiest ways to solve the greatest common divisor of 420, 310, 197, 726 i.e 1 in different methods as follows.
Given Input numbers are 420, 310, 197, 726
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 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 197 :
The positive integer divisors of 197 that completely divides 197 are.
1, 197
Divisors of 726 :
The positive integer divisors of 726 that completely divides 726 are.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
GCD of numbers is the greatest common divisor
So, the GCD (420, 310, 197, 726) = 1.
Given numbers are 420, 310, 197, 726
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 310 are 2 x 5 x 31
Prime factors of 197 are 197
Prime factors of 726 are 2 x 3 x 11 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 420, 310, 197, 726
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 310) = 13020
GCD(420, 310) = ( 420 x 310 ) / 13020
= 420 / 310
= 420
Step2:
LCM(10, 197) = 1970
GCD(10, 197) = ( 10 x 197 ) / 1970
= 10 / 197
= 10
Step3:
LCM(1, 726) = 726
GCD(1, 726) = ( 1 x 726 ) / 726
= 1 / 726
= 1
So, Greatest Common Divisor of 420, 310, 197, 726 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 310, 197, 726
The greatest common divisor of numbers 420, 310, 197, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 310, 197, 726 is 1.
1. What is the GCD of 420, 310, 197, 726?
GCD of given numbers 420, 310, 197, 726 is 1
2. How to calculate the greatest common divisor of 420, 310, 197, 726?
We can find the highest common divisor of 420, 310, 197, 726 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, 310, 197, 726 i.e 1.
3. How can I use the GCD of 420, 310, 197, 726Calculator?
Out the numbers 420, 310, 197, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.