Online GCD Calculator is useful to find the GCD of 272, 472, 100, 563 quickly. Get the easiest ways to solve the greatest common divisor of 272, 472, 100, 563 i.e 1 in different methods as follows.
Given Input numbers are 272, 472, 100, 563
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 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 563 :
The positive integer divisors of 563 that completely divides 563 are.
1, 563
GCD of numbers is the greatest common divisor
So, the GCD (272, 472, 100, 563) = 1.
Given numbers are 272, 472, 100, 563
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 472 are 2 x 2 x 2 x 59
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 563 are 563
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 272, 472, 100, 563
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(272, 472) = 16048
GCD(272, 472) = ( 272 x 472 ) / 16048
= 272 / 472
= 272
Step2:
LCM(8, 100) = 200
GCD(8, 100) = ( 8 x 100 ) / 200
= 8 / 100
= 8
Step3:
LCM(4, 563) = 2252
GCD(4, 563) = ( 4 x 563 ) / 2252
= 4 / 563
= 4
So, Greatest Common Divisor of 272, 472, 100, 563 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 272, 472, 100, 563
The greatest common divisor of numbers 272, 472, 100, 563 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 472, 100, 563 is 1.
1. What is the GCD of 272, 472, 100, 563?
GCD of given numbers 272, 472, 100, 563 is 1
2. How to calculate the greatest common divisor of 272, 472, 100, 563?
We can find the highest common divisor of 272, 472, 100, 563 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, 472, 100, 563 i.e 1.
3. How can I use the GCD of 272, 472, 100, 563Calculator?
Out the numbers 272, 472, 100, 563 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.