Online GCD Calculator is useful to find the GCD of 398, 765, 140, 338 quickly. Get the easiest ways to solve the greatest common divisor of 398, 765, 140, 338 i.e 1 in different methods as follows.
Given Input numbers are 398, 765, 140, 338
In the factoring method, we have to find the divisors of all numbers
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
GCD of numbers is the greatest common divisor
So, the GCD (398, 765, 140, 338) = 1.
Given numbers are 398, 765, 140, 338
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 338 are 2 x 13 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 398, 765, 140, 338
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 765) = 304470
GCD(398, 765) = ( 398 x 765 ) / 304470
= 398 / 765
= 398
Step2:
LCM(1, 140) = 140
GCD(1, 140) = ( 1 x 140 ) / 140
= 1 / 140
= 1
Step3:
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
= 1 / 338
= 1
So, Greatest Common Divisor of 398, 765, 140, 338 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 398, 765, 140, 338
The greatest common divisor of numbers 398, 765, 140, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 765, 140, 338 is 1.
1. What is the GCD of 398, 765, 140, 338?
GCD of given numbers 398, 765, 140, 338 is 1
2. How to calculate the greatest common divisor of 398, 765, 140, 338?
We can find the highest common divisor of 398, 765, 140, 338 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 398, 765, 140, 338 i.e 1.
3. How can I use the GCD of 398, 765, 140, 338Calculator?
Out the numbers 398, 765, 140, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.