Online GCD Calculator is useful to find the GCD of 100, 410, 537, 472 quickly. Get the easiest ways to solve the greatest common divisor of 100, 410, 537, 472 i.e 1 in different methods as follows.
Given Input numbers are 100, 410, 537, 472
In the factoring method, we have to find the divisors of all numbers
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 410 :
The positive integer divisors of 410 that completely divides 410 are.
1, 2, 5, 10, 41, 82, 205, 410
Divisors of 537 :
The positive integer divisors of 537 that completely divides 537 are.
1, 3, 179, 537
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
GCD of numbers is the greatest common divisor
So, the GCD (100, 410, 537, 472) = 1.
Given numbers are 100, 410, 537, 472
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 410 are 2 x 5 x 41
Prime factors of 537 are 3 x 179
Prime factors of 472 are 2 x 2 x 2 x 59
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 100, 410, 537, 472
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 410) = 4100
GCD(100, 410) = ( 100 x 410 ) / 4100
= 100 / 410
= 100
Step2:
LCM(10, 537) = 5370
GCD(10, 537) = ( 10 x 537 ) / 5370
= 10 / 537
= 10
Step3:
LCM(1, 472) = 472
GCD(1, 472) = ( 1 x 472 ) / 472
= 1 / 472
= 1
So, Greatest Common Divisor of 100, 410, 537, 472 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 410, 537, 472
The greatest common divisor of numbers 100, 410, 537, 472 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 410, 537, 472 is 1.
1. What is the GCD of 100, 410, 537, 472?
GCD of given numbers 100, 410, 537, 472 is 1
2. How to calculate the greatest common divisor of 100, 410, 537, 472?
We can find the highest common divisor of 100, 410, 537, 472 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 100, 410, 537, 472 i.e 1.
3. How can I use the GCD of 100, 410, 537, 472Calculator?
Out the numbers 100, 410, 537, 472 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.