Online GCD Calculator is useful to find the GCD of 100, 418, 120, 733 quickly. Get the easiest ways to solve the greatest common divisor of 100, 418, 120, 733 i.e 1 in different methods as follows.
Given Input numbers are 100, 418, 120, 733
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 418 :
The positive integer divisors of 418 that completely divides 418 are.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 733 :
The positive integer divisors of 733 that completely divides 733 are.
1, 733
GCD of numbers is the greatest common divisor
So, the GCD (100, 418, 120, 733) = 1.
Given numbers are 100, 418, 120, 733
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 418 are 2 x 11 x 19
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 733 are 733
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 100, 418, 120, 733
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 418) = 20900
GCD(100, 418) = ( 100 x 418 ) / 20900
= 100 / 418
= 100
Step2:
LCM(2, 120) = 120
GCD(2, 120) = ( 2 x 120 ) / 120
= 2 / 120
= 2
Step3:
LCM(2, 733) = 1466
GCD(2, 733) = ( 2 x 733 ) / 1466
= 2 / 733
= 2
So, Greatest Common Divisor of 100, 418, 120, 733 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 418, 120, 733
The greatest common divisor of numbers 100, 418, 120, 733 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 418, 120, 733 is 1.
1. What is the GCD of 100, 418, 120, 733?
GCD of given numbers 100, 418, 120, 733 is 1
2. How to calculate the greatest common divisor of 100, 418, 120, 733?
We can find the highest common divisor of 100, 418, 120, 733 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, 418, 120, 733 i.e 1.
3. How can I use the GCD of 100, 418, 120, 733Calculator?
Out the numbers 100, 418, 120, 733 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.