Online GCD Calculator is useful to find the GCD of 546, 894, 400, 442 quickly. Get the easiest ways to solve the greatest common divisor of 546, 894, 400, 442 i.e 2 in different methods as follows.
Given Input numbers are 546, 894, 400, 442
In the factoring method, we have to find the divisors of all numbers
Divisors of 546 :
The positive integer divisors of 546 that completely divides 546 are.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Divisors of 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
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 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
GCD of numbers is the greatest common divisor
So, the GCD (546, 894, 400, 442) = 2.
Given numbers are 546, 894, 400, 442
The list of prime factors of all numbers are
Prime factors of 546 are 2 x 3 x 7 x 13
Prime factors of 894 are 2 x 3 x 149
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 442 are 2 x 13 x 17
The highest common occurrence is 21
Therefore, GCD of 546, 894, 400, 442 is 2.
Given numbers are 546, 894, 400, 442
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(546, 894) = 81354
GCD(546, 894) = ( 546 x 894 ) / 81354
= 546 / 894
= 546
Step2:
LCM(6, 400) = 1200
GCD(6, 400) = ( 6 x 400 ) / 1200
= 6 / 400
= 6
Step3:
LCM(2, 442) = 442
GCD(2, 442) = ( 2 x 442 ) / 442
= 2 / 442
= 2
So, Greatest Common Divisor of 546, 894, 400, 442 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 546, 894, 400, 442
The greatest common divisor of numbers 546, 894, 400, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 546, 894, 400, 442 is 2.
1. What is the GCD of 546, 894, 400, 442?
GCD of given numbers 546, 894, 400, 442 is 2
2. How to calculate the greatest common divisor of 546, 894, 400, 442?
We can find the highest common divisor of 546, 894, 400, 442 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 546, 894, 400, 442 i.e 2.
3. How can I use the GCD of 546, 894, 400, 442Calculator?
Out the numbers 546, 894, 400, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.