Online GCD Calculator is useful to find the GCD of 873, 645, 357, 492 quickly. Get the easiest ways to solve the greatest common divisor of 873, 645, 357, 492 i.e 3 in different methods as follows.
Given Input numbers are 873, 645, 357, 492
In the factoring method, we have to find the divisors of all numbers
Divisors of 873 :
The positive integer divisors of 873 that completely divides 873 are.
1, 3, 9, 97, 291, 873
Divisors of 645 :
The positive integer divisors of 645 that completely divides 645 are.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
GCD of numbers is the greatest common divisor
So, the GCD (873, 645, 357, 492) = 3.
Given numbers are 873, 645, 357, 492
The list of prime factors of all numbers are
Prime factors of 873 are 3 x 3 x 97
Prime factors of 645 are 3 x 5 x 43
Prime factors of 357 are 3 x 7 x 17
Prime factors of 492 are 2 x 2 x 3 x 41
The highest common occurrence is 31
Therefore, GCD of 873, 645, 357, 492 is 3.
Given numbers are 873, 645, 357, 492
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(873, 645) = 187695
GCD(873, 645) = ( 873 x 645 ) / 187695
= 873 / 645
= 873
Step2:
LCM(3, 357) = 357
GCD(3, 357) = ( 3 x 357 ) / 357
= 3 / 357
= 3
Step3:
LCM(3, 492) = 492
GCD(3, 492) = ( 3 x 492 ) / 492
= 3 / 492
= 3
So, Greatest Common Divisor of 873, 645, 357, 492 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 873, 645, 357, 492
The greatest common divisor of numbers 873, 645, 357, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 873, 645, 357, 492 is 3.
1. What is the GCD of 873, 645, 357, 492?
GCD of given numbers 873, 645, 357, 492 is 3
2. How to calculate the greatest common divisor of 873, 645, 357, 492?
We can find the highest common divisor of 873, 645, 357, 492 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 873, 645, 357, 492 i.e 3.
3. How can I use the GCD of 873, 645, 357, 492Calculator?
Out the numbers 873, 645, 357, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.