Online GCD Calculator is useful to find the GCD of 300, 334, 534, 764 quickly. Get the easiest ways to solve the greatest common divisor of 300, 334, 534, 764 i.e 2 in different methods as follows.
Given Input numbers are 300, 334, 534, 764
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 334 :
The positive integer divisors of 334 that completely divides 334 are.
1, 2, 167, 334
Divisors of 534 :
The positive integer divisors of 534 that completely divides 534 are.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
GCD of numbers is the greatest common divisor
So, the GCD (300, 334, 534, 764) = 2.
Given numbers are 300, 334, 534, 764
The list of prime factors of all numbers are
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 334 are 2 x 167
Prime factors of 534 are 2 x 3 x 89
Prime factors of 764 are 2 x 2 x 191
The highest common occurrence is 21
Therefore, GCD of 300, 334, 534, 764 is 2.
Given numbers are 300, 334, 534, 764
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(300, 334) = 50100
GCD(300, 334) = ( 300 x 334 ) / 50100
= 300 / 334
= 300
Step2:
LCM(2, 534) = 534
GCD(2, 534) = ( 2 x 534 ) / 534
= 2 / 534
= 2
Step3:
LCM(2, 764) = 764
GCD(2, 764) = ( 2 x 764 ) / 764
= 2 / 764
= 2
So, Greatest Common Divisor of 300, 334, 534, 764 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 300, 334, 534, 764
The greatest common divisor of numbers 300, 334, 534, 764 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 334, 534, 764 is 2.
1. What is the GCD of 300, 334, 534, 764?
GCD of given numbers 300, 334, 534, 764 is 2
2. How to calculate the greatest common divisor of 300, 334, 534, 764?
We can find the highest common divisor of 300, 334, 534, 764 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 300, 334, 534, 764 i.e 2.
3. How can I use the GCD of 300, 334, 534, 764Calculator?
Out the numbers 300, 334, 534, 764 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.