Online GCD Calculator is useful to find the GCD of 313, 588, 638, 100 quickly. Get the easiest ways to solve the greatest common divisor of 313, 588, 638, 100 i.e 1 in different methods as follows.
Given Input numbers are 313, 588, 638, 100
In the factoring method, we have to find the divisors of all numbers
Divisors of 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
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 (313, 588, 638, 100) = 1.
Given numbers are 313, 588, 638, 100
The list of prime factors of all numbers are
Prime factors of 313 are 313
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 638 are 2 x 11 x 29
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 313, 588, 638, 100
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(313, 588) = 184044
GCD(313, 588) = ( 313 x 588 ) / 184044
= 313 / 588
= 313
Step2:
LCM(1, 638) = 638
GCD(1, 638) = ( 1 x 638 ) / 638
= 1 / 638
= 1
Step3:
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
= 1 / 100
= 1
So, Greatest Common Divisor of 313, 588, 638, 100 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 313, 588, 638, 100
The greatest common divisor of numbers 313, 588, 638, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 313, 588, 638, 100 is 1.
1. What is the GCD of 313, 588, 638, 100?
GCD of given numbers 313, 588, 638, 100 is 1
2. How to calculate the greatest common divisor of 313, 588, 638, 100?
We can find the highest common divisor of 313, 588, 638, 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 313, 588, 638, 100 i.e 1.
3. How can I use the GCD of 313, 588, 638, 100Calculator?
Out the numbers 313, 588, 638, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.