Online GCD Calculator is useful to find the GCD of 857, 338, 362, 298 quickly. Get the easiest ways to solve the greatest common divisor of 857, 338, 362, 298 i.e 1 in different methods as follows.
Given Input numbers are 857, 338, 362, 298
In the factoring method, we have to find the divisors of all numbers
Divisors of 857 :
The positive integer divisors of 857 that completely divides 857 are.
1, 857
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
GCD of numbers is the greatest common divisor
So, the GCD (857, 338, 362, 298) = 1.
Given numbers are 857, 338, 362, 298
The list of prime factors of all numbers are
Prime factors of 857 are 857
Prime factors of 338 are 2 x 13 x 13
Prime factors of 362 are 2 x 181
Prime factors of 298 are 2 x 149
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 857, 338, 362, 298
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(857, 338) = 289666
GCD(857, 338) = ( 857 x 338 ) / 289666
= 857 / 338
= 857
Step2:
LCM(1, 362) = 362
GCD(1, 362) = ( 1 x 362 ) / 362
= 1 / 362
= 1
Step3:
LCM(1, 298) = 298
GCD(1, 298) = ( 1 x 298 ) / 298
= 1 / 298
= 1
So, Greatest Common Divisor of 857, 338, 362, 298 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 857, 338, 362, 298
The greatest common divisor of numbers 857, 338, 362, 298 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 857, 338, 362, 298 is 1.
1. What is the GCD of 857, 338, 362, 298?
GCD of given numbers 857, 338, 362, 298 is 1
2. How to calculate the greatest common divisor of 857, 338, 362, 298?
We can find the highest common divisor of 857, 338, 362, 298 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 857, 338, 362, 298 i.e 1.
3. How can I use the GCD of 857, 338, 362, 298Calculator?
Out the numbers 857, 338, 362, 298 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.