Online GCD Calculator is useful to find the GCD of 398, 754, 698, 357 quickly. Get the easiest ways to solve the greatest common divisor of 398, 754, 698, 357 i.e 1 in different methods as follows.
Given Input numbers are 398, 754, 698, 357
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 754 :
The positive integer divisors of 754 that completely divides 754 are.
1, 2, 13, 26, 29, 58, 377, 754
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
GCD of numbers is the greatest common divisor
So, the GCD (398, 754, 698, 357) = 1.
Given numbers are 398, 754, 698, 357
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 754 are 2 x 13 x 29
Prime factors of 698 are 2 x 349
Prime factors of 357 are 3 x 7 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 398, 754, 698, 357
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 754) = 150046
GCD(398, 754) = ( 398 x 754 ) / 150046
= 398 / 754
= 398
Step2:
LCM(2, 698) = 698
GCD(2, 698) = ( 2 x 698 ) / 698
= 2 / 698
= 2
Step3:
LCM(2, 357) = 714
GCD(2, 357) = ( 2 x 357 ) / 714
= 2 / 357
= 2
So, Greatest Common Divisor of 398, 754, 698, 357 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 398, 754, 698, 357
The greatest common divisor of numbers 398, 754, 698, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 754, 698, 357 is 1.
1. What is the GCD of 398, 754, 698, 357?
GCD of given numbers 398, 754, 698, 357 is 1
2. How to calculate the greatest common divisor of 398, 754, 698, 357?
We can find the highest common divisor of 398, 754, 698, 357 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, 754, 698, 357 i.e 1.
3. How can I use the GCD of 398, 754, 698, 357Calculator?
Out the numbers 398, 754, 698, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.