Online GCD Calculator is useful to find the GCD of 534, 108, 764, 712 quickly. Get the easiest ways to solve the greatest common divisor of 534, 108, 764, 712 i.e 2 in different methods as follows.
Given Input numbers are 534, 108, 764, 712
In the factoring method, we have to find the divisors of all numbers
Divisors of 534 :
The positive integer divisors of 534 that completely divides 534 are.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
Divisors of 712 :
The positive integer divisors of 712 that completely divides 712 are.
1, 2, 4, 8, 89, 178, 356, 712
GCD of numbers is the greatest common divisor
So, the GCD (534, 108, 764, 712) = 2.
Given numbers are 534, 108, 764, 712
The list of prime factors of all numbers are
Prime factors of 534 are 2 x 3 x 89
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 764 are 2 x 2 x 191
Prime factors of 712 are 2 x 2 x 2 x 89
The highest common occurrence is 21
Therefore, GCD of 534, 108, 764, 712 is 2.
Given numbers are 534, 108, 764, 712
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(534, 108) = 9612
GCD(534, 108) = ( 534 x 108 ) / 9612
= 534 / 108
= 534
Step2:
LCM(6, 764) = 2292
GCD(6, 764) = ( 6 x 764 ) / 2292
= 6 / 764
= 6
Step3:
LCM(2, 712) = 712
GCD(2, 712) = ( 2 x 712 ) / 712
= 2 / 712
= 2
So, Greatest Common Divisor of 534, 108, 764, 712 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 534, 108, 764, 712
The greatest common divisor of numbers 534, 108, 764, 712 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 534, 108, 764, 712 is 2.
1. What is the GCD of 534, 108, 764, 712?
GCD of given numbers 534, 108, 764, 712 is 2
2. How to calculate the greatest common divisor of 534, 108, 764, 712?
We can find the highest common divisor of 534, 108, 764, 712 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 534, 108, 764, 712 i.e 2.
3. How can I use the GCD of 534, 108, 764, 712Calculator?
Out the numbers 534, 108, 764, 712 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.