Online GCD Calculator is useful to find the GCD of 421, 270, 107, 697 quickly. Get the easiest ways to solve the greatest common divisor of 421, 270, 107, 697 i.e 1 in different methods as follows.
Given Input numbers are 421, 270, 107, 697
In the factoring method, we have to find the divisors of all numbers
Divisors of 421 :
The positive integer divisors of 421 that completely divides 421 are.
1, 421
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 107 :
The positive integer divisors of 107 that completely divides 107 are.
1, 107
Divisors of 697 :
The positive integer divisors of 697 that completely divides 697 are.
1, 17, 41, 697
GCD of numbers is the greatest common divisor
So, the GCD (421, 270, 107, 697) = 1.
Given numbers are 421, 270, 107, 697
The list of prime factors of all numbers are
Prime factors of 421 are 421
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 107 are 107
Prime factors of 697 are 17 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 421, 270, 107, 697
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(421, 270) = 113670
GCD(421, 270) = ( 421 x 270 ) / 113670
= 421 / 270
= 421
Step2:
LCM(1, 107) = 107
GCD(1, 107) = ( 1 x 107 ) / 107
= 1 / 107
= 1
Step3:
LCM(1, 697) = 697
GCD(1, 697) = ( 1 x 697 ) / 697
= 1 / 697
= 1
So, Greatest Common Divisor of 421, 270, 107, 697 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 421, 270, 107, 697
The greatest common divisor of numbers 421, 270, 107, 697 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 421, 270, 107, 697 is 1.
1. What is the GCD of 421, 270, 107, 697?
GCD of given numbers 421, 270, 107, 697 is 1
2. How to calculate the greatest common divisor of 421, 270, 107, 697?
We can find the highest common divisor of 421, 270, 107, 697 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 421, 270, 107, 697 i.e 1.
3. How can I use the GCD of 421, 270, 107, 697Calculator?
Out the numbers 421, 270, 107, 697 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.