Online GCD Calculator is useful to find the GCD of 472, 891, 264, 100 quickly. Get the easiest ways to solve the greatest common divisor of 472, 891, 264, 100 i.e 1 in different methods as follows.
Given Input numbers are 472, 891, 264, 100
In the factoring method, we have to find the divisors of all numbers
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 891 :
The positive integer divisors of 891 that completely divides 891 are.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
GCD of numbers is the greatest common divisor
So, the GCD (472, 891, 264, 100) = 1.
Given numbers are 472, 891, 264, 100
The list of prime factors of all numbers are
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 891 are 3 x 3 x 3 x 3 x 11
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
Prime factors of 100 are 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 472, 891, 264, 100
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(472, 891) = 420552
GCD(472, 891) = ( 472 x 891 ) / 420552
= 472 / 891
= 472
Step2:
LCM(1, 264) = 264
GCD(1, 264) = ( 1 x 264 ) / 264
= 1 / 264
= 1
Step3:
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
= 1 / 100
= 1
So, Greatest Common Divisor of 472, 891, 264, 100 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 472, 891, 264, 100
The greatest common divisor of numbers 472, 891, 264, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 891, 264, 100 is 1.
1. What is the GCD of 472, 891, 264, 100?
GCD of given numbers 472, 891, 264, 100 is 1
2. How to calculate the greatest common divisor of 472, 891, 264, 100?
We can find the highest common divisor of 472, 891, 264, 100 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 472, 891, 264, 100 i.e 1.
3. How can I use the GCD of 472, 891, 264, 100Calculator?
Out the numbers 472, 891, 264, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.