Online GCD Calculator is useful to find the GCD of 126, 782, 362, 844 quickly. Get the easiest ways to solve the greatest common divisor of 126, 782, 362, 844 i.e 2 in different methods as follows.
Given Input numbers are 126, 782, 362, 844
In the factoring method, we have to find the divisors of all numbers
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 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
Divisors of 844 :
The positive integer divisors of 844 that completely divides 844 are.
1, 2, 4, 211, 422, 844
GCD of numbers is the greatest common divisor
So, the GCD (126, 782, 362, 844) = 2.
Given numbers are 126, 782, 362, 844
The list of prime factors of all numbers are
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 782 are 2 x 17 x 23
Prime factors of 362 are 2 x 181
Prime factors of 844 are 2 x 2 x 211
The highest common occurrence is 21
Therefore, GCD of 126, 782, 362, 844 is 2.
Given numbers are 126, 782, 362, 844
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(126, 782) = 49266
GCD(126, 782) = ( 126 x 782 ) / 49266
= 126 / 782
= 126
Step2:
LCM(2, 362) = 362
GCD(2, 362) = ( 2 x 362 ) / 362
= 2 / 362
= 2
Step3:
LCM(2, 844) = 844
GCD(2, 844) = ( 2 x 844 ) / 844
= 2 / 844
= 2
So, Greatest Common Divisor of 126, 782, 362, 844 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 126, 782, 362, 844
The greatest common divisor of numbers 126, 782, 362, 844 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 782, 362, 844 is 2.
1. What is the GCD of 126, 782, 362, 844?
GCD of given numbers 126, 782, 362, 844 is 2
2. How to calculate the greatest common divisor of 126, 782, 362, 844?
We can find the highest common divisor of 126, 782, 362, 844 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 126, 782, 362, 844 i.e 2.
3. How can I use the GCD of 126, 782, 362, 844Calculator?
Out the numbers 126, 782, 362, 844 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.