Online GCD Calculator is useful to find the GCD of 994, 126, 546, 486 quickly. Get the easiest ways to solve the greatest common divisor of 994, 126, 546, 486 i.e 2 in different methods as follows.
Given Input numbers are 994, 126, 546, 486
In the factoring method, we have to find the divisors of all numbers
Divisors of 994 :
The positive integer divisors of 994 that completely divides 994 are.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
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 486 :
The positive integer divisors of 486 that completely divides 486 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
GCD of numbers is the greatest common divisor
So, the GCD (994, 126, 546, 486) = 2.
Given numbers are 994, 126, 546, 486
The list of prime factors of all numbers are
Prime factors of 994 are 2 x 7 x 71
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 546 are 2 x 3 x 7 x 13
Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 994, 126, 546, 486 is 2.
Given numbers are 994, 126, 546, 486
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(994, 126) = 8946
GCD(994, 126) = ( 994 x 126 ) / 8946
= 994 / 126
= 994
Step2:
LCM(14, 546) = 546
GCD(14, 546) = ( 14 x 546 ) / 546
= 14 / 546
= 14
Step3:
LCM(14, 486) = 3402
GCD(14, 486) = ( 14 x 486 ) / 3402
= 14 / 486
= 14
So, Greatest Common Divisor of 994, 126, 546, 486 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 994, 126, 546, 486
The greatest common divisor of numbers 994, 126, 546, 486 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 994, 126, 546, 486 is 2.
1. What is the GCD of 994, 126, 546, 486?
GCD of given numbers 994, 126, 546, 486 is 2
2. How to calculate the greatest common divisor of 994, 126, 546, 486?
We can find the highest common divisor of 994, 126, 546, 486 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 994, 126, 546, 486 i.e 2.
3. How can I use the GCD of 994, 126, 546, 486Calculator?
Out the numbers 994, 126, 546, 486 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.