Online GCD Calculator is useful to find the GCD of 724, 116, 764, 650 quickly. Get the easiest ways to solve the greatest common divisor of 724, 116, 764, 650 i.e 2 in different methods as follows.
Given Input numbers are 724, 116, 764, 650
In the factoring method, we have to find the divisors of all numbers
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
Divisors of 650 :
The positive integer divisors of 650 that completely divides 650 are.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
GCD of numbers is the greatest common divisor
So, the GCD (724, 116, 764, 650) = 2.
Given numbers are 724, 116, 764, 650
The list of prime factors of all numbers are
Prime factors of 724 are 2 x 2 x 181
Prime factors of 116 are 2 x 2 x 29
Prime factors of 764 are 2 x 2 x 191
Prime factors of 650 are 2 x 5 x 5 x 13
The highest common occurrence is 21
Therefore, GCD of 724, 116, 764, 650 is 2.
Given numbers are 724, 116, 764, 650
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(724, 116) = 20996
GCD(724, 116) = ( 724 x 116 ) / 20996
= 724 / 116
= 724
Step2:
LCM(4, 764) = 764
GCD(4, 764) = ( 4 x 764 ) / 764
= 4 / 764
= 4
Step3:
LCM(4, 650) = 1300
GCD(4, 650) = ( 4 x 650 ) / 1300
= 4 / 650
= 4
So, Greatest Common Divisor of 724, 116, 764, 650 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 724, 116, 764, 650
The greatest common divisor of numbers 724, 116, 764, 650 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 116, 764, 650 is 2.
1. What is the GCD of 724, 116, 764, 650?
GCD of given numbers 724, 116, 764, 650 is 2
2. How to calculate the greatest common divisor of 724, 116, 764, 650?
We can find the highest common divisor of 724, 116, 764, 650 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 724, 116, 764, 650 i.e 2.
3. How can I use the GCD of 724, 116, 764, 650Calculator?
Out the numbers 724, 116, 764, 650 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.