Online GCD Calculator is useful to find the GCD of 534, 168, 714, 792 quickly. Get the easiest ways to solve the greatest common divisor of 534, 168, 714, 792 i.e 6 in different methods as follows.
Given Input numbers are 534, 168, 714, 792
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 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
GCD of numbers is the greatest common divisor
So, the GCD (534, 168, 714, 792) = 6.
Given numbers are 534, 168, 714, 792
The list of prime factors of all numbers are
Prime factors of 534 are 2 x 3 x 89
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
The highest common occurrence is 21 x 31
Therefore, GCD of 534, 168, 714, 792 is 6.
Given numbers are 534, 168, 714, 792
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(534, 168) = 14952
GCD(534, 168) = ( 534 x 168 ) / 14952
= 534 / 168
= 534
Step2:
LCM(6, 714) = 714
GCD(6, 714) = ( 6 x 714 ) / 714
= 6 / 714
= 6
Step3:
LCM(6, 792) = 792
GCD(6, 792) = ( 6 x 792 ) / 792
= 6 / 792
= 6
So, Greatest Common Divisor of 534, 168, 714, 792 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 534, 168, 714, 792
The greatest common divisor of numbers 534, 168, 714, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 534, 168, 714, 792 is 6.
1. What is the GCD of 534, 168, 714, 792?
GCD of given numbers 534, 168, 714, 792 is 6
2. How to calculate the greatest common divisor of 534, 168, 714, 792?
We can find the highest common divisor of 534, 168, 714, 792 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, 168, 714, 792 i.e 6.
3. How can I use the GCD of 534, 168, 714, 792Calculator?
Out the numbers 534, 168, 714, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.