Online GCD Calculator is useful to find the GCD of 537, 645, 834, 300 quickly. Get the easiest ways to solve the greatest common divisor of 537, 645, 834, 300 i.e 3 in different methods as follows.
Given Input numbers are 537, 645, 834, 300
In the factoring method, we have to find the divisors of all numbers
Divisors of 537 :
The positive integer divisors of 537 that completely divides 537 are.
1, 3, 179, 537
Divisors of 645 :
The positive integer divisors of 645 that completely divides 645 are.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
GCD of numbers is the greatest common divisor
So, the GCD (537, 645, 834, 300) = 3.
Given numbers are 537, 645, 834, 300
The list of prime factors of all numbers are
Prime factors of 537 are 3 x 179
Prime factors of 645 are 3 x 5 x 43
Prime factors of 834 are 2 x 3 x 139
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 537, 645, 834, 300 is 3.
Given numbers are 537, 645, 834, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(537, 645) = 115455
GCD(537, 645) = ( 537 x 645 ) / 115455
= 537 / 645
= 537
Step2:
LCM(3, 834) = 834
GCD(3, 834) = ( 3 x 834 ) / 834
= 3 / 834
= 3
Step3:
LCM(3, 300) = 300
GCD(3, 300) = ( 3 x 300 ) / 300
= 3 / 300
= 3
So, Greatest Common Divisor of 537, 645, 834, 300 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 537, 645, 834, 300
The greatest common divisor of numbers 537, 645, 834, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 537, 645, 834, 300 is 3.
1. What is the GCD of 537, 645, 834, 300?
GCD of given numbers 537, 645, 834, 300 is 3
2. How to calculate the greatest common divisor of 537, 645, 834, 300?
We can find the highest common divisor of 537, 645, 834, 300 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 537, 645, 834, 300 i.e 3.
3. How can I use the GCD of 537, 645, 834, 300Calculator?
Out the numbers 537, 645, 834, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.