Online GCD Calculator is useful to find the GCD of 542, 400, 822, 882 quickly. Get the easiest ways to solve the greatest common divisor of 542, 400, 822, 882 i.e 2 in different methods as follows.
Given Input numbers are 542, 400, 822, 882
In the factoring method, we have to find the divisors of all numbers
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 882 :
The positive integer divisors of 882 that completely divides 882 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
GCD of numbers is the greatest common divisor
So, the GCD (542, 400, 822, 882) = 2.
Given numbers are 542, 400, 822, 882
The list of prime factors of all numbers are
Prime factors of 542 are 2 x 271
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 822 are 2 x 3 x 137
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 542, 400, 822, 882 is 2.
Given numbers are 542, 400, 822, 882
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(542, 400) = 108400
GCD(542, 400) = ( 542 x 400 ) / 108400
= 542 / 400
= 542
Step2:
LCM(2, 822) = 822
GCD(2, 822) = ( 2 x 822 ) / 822
= 2 / 822
= 2
Step3:
LCM(2, 882) = 882
GCD(2, 882) = ( 2 x 882 ) / 882
= 2 / 882
= 2
So, Greatest Common Divisor of 542, 400, 822, 882 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 542, 400, 822, 882
The greatest common divisor of numbers 542, 400, 822, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 400, 822, 882 is 2.
1. What is the GCD of 542, 400, 822, 882?
GCD of given numbers 542, 400, 822, 882 is 2
2. How to calculate the greatest common divisor of 542, 400, 822, 882?
We can find the highest common divisor of 542, 400, 822, 882 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 542, 400, 822, 882 i.e 2.
3. How can I use the GCD of 542, 400, 822, 882Calculator?
Out the numbers 542, 400, 822, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.