Online GCD Calculator is useful to find the GCD of 345, 498, 821, 964 quickly. Get the easiest ways to solve the greatest common divisor of 345, 498, 821, 964 i.e 1 in different methods as follows.
Given Input numbers are 345, 498, 821, 964
In the factoring method, we have to find the divisors of all numbers
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 821 :
The positive integer divisors of 821 that completely divides 821 are.
1, 821
Divisors of 964 :
The positive integer divisors of 964 that completely divides 964 are.
1, 2, 4, 241, 482, 964
GCD of numbers is the greatest common divisor
So, the GCD (345, 498, 821, 964) = 1.
Given numbers are 345, 498, 821, 964
The list of prime factors of all numbers are
Prime factors of 345 are 3 x 5 x 23
Prime factors of 498 are 2 x 3 x 83
Prime factors of 821 are 821
Prime factors of 964 are 2 x 2 x 241
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 345, 498, 821, 964
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(345, 498) = 57270
GCD(345, 498) = ( 345 x 498 ) / 57270
= 345 / 498
= 345
Step2:
LCM(3, 821) = 2463
GCD(3, 821) = ( 3 x 821 ) / 2463
= 3 / 821
= 3
Step3:
LCM(1, 964) = 964
GCD(1, 964) = ( 1 x 964 ) / 964
= 1 / 964
= 1
So, Greatest Common Divisor of 345, 498, 821, 964 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 345, 498, 821, 964
The greatest common divisor of numbers 345, 498, 821, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 498, 821, 964 is 1.
1. What is the GCD of 345, 498, 821, 964?
GCD of given numbers 345, 498, 821, 964 is 1
2. How to calculate the greatest common divisor of 345, 498, 821, 964?
We can find the highest common divisor of 345, 498, 821, 964 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 345, 498, 821, 964 i.e 1.
3. How can I use the GCD of 345, 498, 821, 964Calculator?
Out the numbers 345, 498, 821, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.