Online GCD Calculator is useful to find the GCD of 534, 138, 313, 828 quickly. Get the easiest ways to solve the greatest common divisor of 534, 138, 313, 828 i.e 1 in different methods as follows.
Given Input numbers are 534, 138, 313, 828
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 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
GCD of numbers is the greatest common divisor
So, the GCD (534, 138, 313, 828) = 1.
Given numbers are 534, 138, 313, 828
The list of prime factors of all numbers are
Prime factors of 534 are 2 x 3 x 89
Prime factors of 138 are 2 x 3 x 23
Prime factors of 313 are 313
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 534, 138, 313, 828
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(534, 138) = 12282
GCD(534, 138) = ( 534 x 138 ) / 12282
= 534 / 138
= 534
Step2:
LCM(6, 313) = 1878
GCD(6, 313) = ( 6 x 313 ) / 1878
= 6 / 313
= 6
Step3:
LCM(1, 828) = 828
GCD(1, 828) = ( 1 x 828 ) / 828
= 1 / 828
= 1
So, Greatest Common Divisor of 534, 138, 313, 828 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 534, 138, 313, 828
The greatest common divisor of numbers 534, 138, 313, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 534, 138, 313, 828 is 1.
1. What is the GCD of 534, 138, 313, 828?
GCD of given numbers 534, 138, 313, 828 is 1
2. How to calculate the greatest common divisor of 534, 138, 313, 828?
We can find the highest common divisor of 534, 138, 313, 828 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, 138, 313, 828 i.e 1.
3. How can I use the GCD of 534, 138, 313, 828Calculator?
Out the numbers 534, 138, 313, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.