Online GCD Calculator is useful to find the GCD of 828, 690, 206, 530 quickly. Get the easiest ways to solve the greatest common divisor of 828, 690, 206, 530 i.e 2 in different methods as follows.
Given Input numbers are 828, 690, 206, 530
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 206 :
The positive integer divisors of 206 that completely divides 206 are.
1, 2, 103, 206
Divisors of 530 :
The positive integer divisors of 530 that completely divides 530 are.
1, 2, 5, 10, 53, 106, 265, 530
GCD of numbers is the greatest common divisor
So, the GCD (828, 690, 206, 530) = 2.
Given numbers are 828, 690, 206, 530
The list of prime factors of all numbers are
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 206 are 2 x 103
Prime factors of 530 are 2 x 5 x 53
The highest common occurrence is 21
Therefore, GCD of 828, 690, 206, 530 is 2.
Given numbers are 828, 690, 206, 530
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 690) = 4140
GCD(828, 690) = ( 828 x 690 ) / 4140
= 828 / 690
= 828
Step2:
LCM(138, 206) = 14214
GCD(138, 206) = ( 138 x 206 ) / 14214
= 138 / 206
= 138
Step3:
LCM(2, 530) = 530
GCD(2, 530) = ( 2 x 530 ) / 530
= 2 / 530
= 2
So, Greatest Common Divisor of 828, 690, 206, 530 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 828, 690, 206, 530
The greatest common divisor of numbers 828, 690, 206, 530 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 690, 206, 530 is 2.
1. What is the GCD of 828, 690, 206, 530?
GCD of given numbers 828, 690, 206, 530 is 2
2. How to calculate the greatest common divisor of 828, 690, 206, 530?
We can find the highest common divisor of 828, 690, 206, 530 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 828, 690, 206, 530 i.e 2.
3. How can I use the GCD of 828, 690, 206, 530Calculator?
Out the numbers 828, 690, 206, 530 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.