Online GCD Calculator is useful to find the GCD of 460, 189, 100, 938 quickly. Get the easiest ways to solve the greatest common divisor of 460, 189, 100, 938 i.e 1 in different methods as follows.
Given Input numbers are 460, 189, 100, 938
In the factoring method, we have to find the divisors of all numbers
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
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 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
GCD of numbers is the greatest common divisor
So, the GCD (460, 189, 100, 938) = 1.
Given numbers are 460, 189, 100, 938
The list of prime factors of all numbers are
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 938 are 2 x 7 x 67
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 460, 189, 100, 938
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(460, 189) = 86940
GCD(460, 189) = ( 460 x 189 ) / 86940
= 460 / 189
= 460
Step2:
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
= 1 / 100
= 1
Step3:
LCM(1, 938) = 938
GCD(1, 938) = ( 1 x 938 ) / 938
= 1 / 938
= 1
So, Greatest Common Divisor of 460, 189, 100, 938 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 460, 189, 100, 938
The greatest common divisor of numbers 460, 189, 100, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 189, 100, 938 is 1.
1. What is the GCD of 460, 189, 100, 938?
GCD of given numbers 460, 189, 100, 938 is 1
2. How to calculate the greatest common divisor of 460, 189, 100, 938?
We can find the highest common divisor of 460, 189, 100, 938 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 460, 189, 100, 938 i.e 1.
3. How can I use the GCD of 460, 189, 100, 938Calculator?
Out the numbers 460, 189, 100, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.