Online GCD Calculator is useful to find the GCD of 338, 900, 358, 497 quickly. Get the easiest ways to solve the greatest common divisor of 338, 900, 358, 497 i.e 1 in different methods as follows.
Given Input numbers are 338, 900, 358, 497
In the factoring method, we have to find the divisors of all numbers
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
Divisors of 497 :
The positive integer divisors of 497 that completely divides 497 are.
1, 7, 71, 497
GCD of numbers is the greatest common divisor
So, the GCD (338, 900, 358, 497) = 1.
Given numbers are 338, 900, 358, 497
The list of prime factors of all numbers are
Prime factors of 338 are 2 x 13 x 13
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 358 are 2 x 179
Prime factors of 497 are 7 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 338, 900, 358, 497
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(338, 900) = 152100
GCD(338, 900) = ( 338 x 900 ) / 152100
= 338 / 900
= 338
Step2:
LCM(2, 358) = 358
GCD(2, 358) = ( 2 x 358 ) / 358
= 2 / 358
= 2
Step3:
LCM(2, 497) = 994
GCD(2, 497) = ( 2 x 497 ) / 994
= 2 / 497
= 2
So, Greatest Common Divisor of 338, 900, 358, 497 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 338, 900, 358, 497
The greatest common divisor of numbers 338, 900, 358, 497 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 900, 358, 497 is 1.
1. What is the GCD of 338, 900, 358, 497?
GCD of given numbers 338, 900, 358, 497 is 1
2. How to calculate the greatest common divisor of 338, 900, 358, 497?
We can find the highest common divisor of 338, 900, 358, 497 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 338, 900, 358, 497 i.e 1.
3. How can I use the GCD of 338, 900, 358, 497Calculator?
Out the numbers 338, 900, 358, 497 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.