Online GCD Calculator is useful to find the GCD of 272, 422, 711, 421 quickly. Get the easiest ways to solve the greatest common divisor of 272, 422, 711, 421 i.e 1 in different methods as follows.
Given Input numbers are 272, 422, 711, 421
In the factoring method, we have to find the divisors of all numbers
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
Divisors of 711 :
The positive integer divisors of 711 that completely divides 711 are.
1, 3, 9, 79, 237, 711
Divisors of 421 :
The positive integer divisors of 421 that completely divides 421 are.
1, 421
GCD of numbers is the greatest common divisor
So, the GCD (272, 422, 711, 421) = 1.
Given numbers are 272, 422, 711, 421
The list of prime factors of all numbers are
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 422 are 2 x 211
Prime factors of 711 are 3 x 3 x 79
Prime factors of 421 are 421
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 272, 422, 711, 421
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(272, 422) = 57392
GCD(272, 422) = ( 272 x 422 ) / 57392
= 272 / 422
= 272
Step2:
LCM(2, 711) = 1422
GCD(2, 711) = ( 2 x 711 ) / 1422
= 2 / 711
= 2
Step3:
LCM(1, 421) = 421
GCD(1, 421) = ( 1 x 421 ) / 421
= 1 / 421
= 1
So, Greatest Common Divisor of 272, 422, 711, 421 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 272, 422, 711, 421
The greatest common divisor of numbers 272, 422, 711, 421 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 422, 711, 421 is 1.
1. What is the GCD of 272, 422, 711, 421?
GCD of given numbers 272, 422, 711, 421 is 1
2. How to calculate the greatest common divisor of 272, 422, 711, 421?
We can find the highest common divisor of 272, 422, 711, 421 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 272, 422, 711, 421 i.e 1.
3. How can I use the GCD of 272, 422, 711, 421Calculator?
Out the numbers 272, 422, 711, 421 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.