Online GCD Calculator is useful to find the GCD of 100, 338, 203, 736 quickly. Get the easiest ways to solve the greatest common divisor of 100, 338, 203, 736 i.e 1 in different methods as follows.
Given Input numbers are 100, 338, 203, 736
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 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 203 :
The positive integer divisors of 203 that completely divides 203 are.
1, 7, 29, 203
Divisors of 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
GCD of numbers is the greatest common divisor
So, the GCD (100, 338, 203, 736) = 1.
Given numbers are 100, 338, 203, 736
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 338 are 2 x 13 x 13
Prime factors of 203 are 7 x 29
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 100, 338, 203, 736
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 338) = 16900
GCD(100, 338) = ( 100 x 338 ) / 16900
= 100 / 338
= 100
Step2:
LCM(2, 203) = 406
GCD(2, 203) = ( 2 x 203 ) / 406
= 2 / 203
= 2
Step3:
LCM(1, 736) = 736
GCD(1, 736) = ( 1 x 736 ) / 736
= 1 / 736
= 1
So, Greatest Common Divisor of 100, 338, 203, 736 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 338, 203, 736
The greatest common divisor of numbers 100, 338, 203, 736 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 338, 203, 736 is 1.
1. What is the GCD of 100, 338, 203, 736?
GCD of given numbers 100, 338, 203, 736 is 1
2. How to calculate the greatest common divisor of 100, 338, 203, 736?
We can find the highest common divisor of 100, 338, 203, 736 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, 338, 203, 736 i.e 1.
3. How can I use the GCD of 100, 338, 203, 736Calculator?
Out the numbers 100, 338, 203, 736 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.