Online GCD Calculator is useful to find the GCD of 124, 464, 542, 812 quickly. Get the easiest ways to solve the greatest common divisor of 124, 464, 542, 812 i.e 2 in different methods as follows.
Given Input numbers are 124, 464, 542, 812
In the factoring method, we have to find the divisors of all numbers
Divisors of 124 :
The positive integer divisors of 124 that completely divides 124 are.
1, 2, 4, 31, 62, 124
Divisors of 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
Divisors of 812 :
The positive integer divisors of 812 that completely divides 812 are.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
GCD of numbers is the greatest common divisor
So, the GCD (124, 464, 542, 812) = 2.
Given numbers are 124, 464, 542, 812
The list of prime factors of all numbers are
Prime factors of 124 are 2 x 2 x 31
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
Prime factors of 542 are 2 x 271
Prime factors of 812 are 2 x 2 x 7 x 29
The highest common occurrence is 21
Therefore, GCD of 124, 464, 542, 812 is 2.
Given numbers are 124, 464, 542, 812
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(124, 464) = 14384
GCD(124, 464) = ( 124 x 464 ) / 14384
= 124 / 464
= 124
Step2:
LCM(4, 542) = 1084
GCD(4, 542) = ( 4 x 542 ) / 1084
= 4 / 542
= 4
Step3:
LCM(2, 812) = 812
GCD(2, 812) = ( 2 x 812 ) / 812
= 2 / 812
= 2
So, Greatest Common Divisor of 124, 464, 542, 812 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 124, 464, 542, 812
The greatest common divisor of numbers 124, 464, 542, 812 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 124, 464, 542, 812 is 2.
1. What is the GCD of 124, 464, 542, 812?
GCD of given numbers 124, 464, 542, 812 is 2
2. How to calculate the greatest common divisor of 124, 464, 542, 812?
We can find the highest common divisor of 124, 464, 542, 812 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 124, 464, 542, 812 i.e 2.
3. How can I use the GCD of 124, 464, 542, 812Calculator?
Out the numbers 124, 464, 542, 812 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.