Online GCD Calculator is useful to find the GCD of 338, 308, 750, 435 quickly. Get the easiest ways to solve the greatest common divisor of 338, 308, 750, 435 i.e 1 in different methods as follows.
Given Input numbers are 338, 308, 750, 435
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 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 435 :
The positive integer divisors of 435 that completely divides 435 are.
1, 3, 5, 15, 29, 87, 145, 435
GCD of numbers is the greatest common divisor
So, the GCD (338, 308, 750, 435) = 1.
Given numbers are 338, 308, 750, 435
The list of prime factors of all numbers are
Prime factors of 338 are 2 x 13 x 13
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 435 are 3 x 5 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 338, 308, 750, 435
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(338, 308) = 52052
GCD(338, 308) = ( 338 x 308 ) / 52052
= 338 / 308
= 338
Step2:
LCM(2, 750) = 750
GCD(2, 750) = ( 2 x 750 ) / 750
= 2 / 750
= 2
Step3:
LCM(2, 435) = 870
GCD(2, 435) = ( 2 x 435 ) / 870
= 2 / 435
= 2
So, Greatest Common Divisor of 338, 308, 750, 435 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 338, 308, 750, 435
The greatest common divisor of numbers 338, 308, 750, 435 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 308, 750, 435 is 1.
1. What is the GCD of 338, 308, 750, 435?
GCD of given numbers 338, 308, 750, 435 is 1
2. How to calculate the greatest common divisor of 338, 308, 750, 435?
We can find the highest common divisor of 338, 308, 750, 435 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, 308, 750, 435 i.e 1.
3. How can I use the GCD of 338, 308, 750, 435Calculator?
Out the numbers 338, 308, 750, 435 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.