Online GCD Calculator is useful to find the GCD of 196, 821, 432, 270 quickly. Get the easiest ways to solve the greatest common divisor of 196, 821, 432, 270 i.e 1 in different methods as follows.
Given Input numbers are 196, 821, 432, 270
In the factoring method, we have to find the divisors of all numbers
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 821 :
The positive integer divisors of 821 that completely divides 821 are.
1, 821
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
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
GCD of numbers is the greatest common divisor
So, the GCD (196, 821, 432, 270) = 1.
Given numbers are 196, 821, 432, 270
The list of prime factors of all numbers are
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 821 are 821
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 196, 821, 432, 270
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(196, 821) = 160916
GCD(196, 821) = ( 196 x 821 ) / 160916
= 196 / 821
= 196
Step2:
LCM(1, 432) = 432
GCD(1, 432) = ( 1 x 432 ) / 432
= 1 / 432
= 1
Step3:
LCM(1, 270) = 270
GCD(1, 270) = ( 1 x 270 ) / 270
= 1 / 270
= 1
So, Greatest Common Divisor of 196, 821, 432, 270 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 196, 821, 432, 270
The greatest common divisor of numbers 196, 821, 432, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 821, 432, 270 is 1.
1. What is the GCD of 196, 821, 432, 270?
GCD of given numbers 196, 821, 432, 270 is 1
2. How to calculate the greatest common divisor of 196, 821, 432, 270?
We can find the highest common divisor of 196, 821, 432, 270 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 196, 821, 432, 270 i.e 1.
3. How can I use the GCD of 196, 821, 432, 270Calculator?
Out the numbers 196, 821, 432, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.