Online GCD Calculator is useful to find the GCD of 837, 340, 114, 321 quickly. Get the easiest ways to solve the greatest common divisor of 837, 340, 114, 321 i.e 1 in different methods as follows.
Given Input numbers are 837, 340, 114, 321
In the factoring method, we have to find the divisors of all numbers
Divisors of 837 :
The positive integer divisors of 837 that completely divides 837 are.
1, 3, 9, 27, 31, 93, 279, 837
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
GCD of numbers is the greatest common divisor
So, the GCD (837, 340, 114, 321) = 1.
Given numbers are 837, 340, 114, 321
The list of prime factors of all numbers are
Prime factors of 837 are 3 x 3 x 3 x 31
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 114 are 2 x 3 x 19
Prime factors of 321 are 3 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 837, 340, 114, 321
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(837, 340) = 284580
GCD(837, 340) = ( 837 x 340 ) / 284580
= 837 / 340
= 837
Step2:
LCM(1, 114) = 114
GCD(1, 114) = ( 1 x 114 ) / 114
= 1 / 114
= 1
Step3:
LCM(1, 321) = 321
GCD(1, 321) = ( 1 x 321 ) / 321
= 1 / 321
= 1
So, Greatest Common Divisor of 837, 340, 114, 321 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 837, 340, 114, 321
The greatest common divisor of numbers 837, 340, 114, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 837, 340, 114, 321 is 1.
1. What is the GCD of 837, 340, 114, 321?
GCD of given numbers 837, 340, 114, 321 is 1
2. How to calculate the greatest common divisor of 837, 340, 114, 321?
We can find the highest common divisor of 837, 340, 114, 321 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 837, 340, 114, 321 i.e 1.
3. How can I use the GCD of 837, 340, 114, 321Calculator?
Out the numbers 837, 340, 114, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.