Online GCD Calculator is useful to find the GCD of 820, 124, 774, 588 quickly. Get the easiest ways to solve the greatest common divisor of 820, 124, 774, 588 i.e 2 in different methods as follows.
Given Input numbers are 820, 124, 774, 588
In the factoring method, we have to find the divisors of all numbers
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 124 :
The positive integer divisors of 124 that completely divides 124 are.
1, 2, 4, 31, 62, 124
Divisors of 774 :
The positive integer divisors of 774 that completely divides 774 are.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
GCD of numbers is the greatest common divisor
So, the GCD (820, 124, 774, 588) = 2.
Given numbers are 820, 124, 774, 588
The list of prime factors of all numbers are
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 124 are 2 x 2 x 31
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 820, 124, 774, 588 is 2.
Given numbers are 820, 124, 774, 588
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(820, 124) = 25420
GCD(820, 124) = ( 820 x 124 ) / 25420
= 820 / 124
= 820
Step2:
LCM(4, 774) = 1548
GCD(4, 774) = ( 4 x 774 ) / 1548
= 4 / 774
= 4
Step3:
LCM(2, 588) = 588
GCD(2, 588) = ( 2 x 588 ) / 588
= 2 / 588
= 2
So, Greatest Common Divisor of 820, 124, 774, 588 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 820, 124, 774, 588
The greatest common divisor of numbers 820, 124, 774, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 124, 774, 588 is 2.
1. What is the GCD of 820, 124, 774, 588?
GCD of given numbers 820, 124, 774, 588 is 2
2. How to calculate the greatest common divisor of 820, 124, 774, 588?
We can find the highest common divisor of 820, 124, 774, 588 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 820, 124, 774, 588 i.e 2.
3. How can I use the GCD of 820, 124, 774, 588Calculator?
Out the numbers 820, 124, 774, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.