Online GCD Calculator is useful to find the GCD of 338, 357, 435, 508 quickly. Get the easiest ways to solve the greatest common divisor of 338, 357, 435, 508 i.e 1 in different methods as follows.
Given Input numbers are 338, 357, 435, 508
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 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 435 :
The positive integer divisors of 435 that completely divides 435 are.
1, 3, 5, 15, 29, 87, 145, 435
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
GCD of numbers is the greatest common divisor
So, the GCD (338, 357, 435, 508) = 1.
Given numbers are 338, 357, 435, 508
The list of prime factors of all numbers are
Prime factors of 338 are 2 x 13 x 13
Prime factors of 357 are 3 x 7 x 17
Prime factors of 435 are 3 x 5 x 29
Prime factors of 508 are 2 x 2 x 127
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 338, 357, 435, 508
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(338, 357) = 120666
GCD(338, 357) = ( 338 x 357 ) / 120666
= 338 / 357
= 338
Step2:
LCM(1, 435) = 435
GCD(1, 435) = ( 1 x 435 ) / 435
= 1 / 435
= 1
Step3:
LCM(1, 508) = 508
GCD(1, 508) = ( 1 x 508 ) / 508
= 1 / 508
= 1
So, Greatest Common Divisor of 338, 357, 435, 508 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 338, 357, 435, 508
The greatest common divisor of numbers 338, 357, 435, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 357, 435, 508 is 1.
1. What is the GCD of 338, 357, 435, 508?
GCD of given numbers 338, 357, 435, 508 is 1
2. How to calculate the greatest common divisor of 338, 357, 435, 508?
We can find the highest common divisor of 338, 357, 435, 508 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, 357, 435, 508 i.e 1.
3. How can I use the GCD of 338, 357, 435, 508Calculator?
Out the numbers 338, 357, 435, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.