Online GCD Calculator is useful to find the GCD of 126, 262, 596, 426 quickly. Get the easiest ways to solve the greatest common divisor of 126, 262, 596, 426 i.e 2 in different methods as follows.
Given Input numbers are 126, 262, 596, 426
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 262 :
The positive integer divisors of 262 that completely divides 262 are.
1, 2, 131, 262
Divisors of 596 :
The positive integer divisors of 596 that completely divides 596 are.
1, 2, 4, 149, 298, 596
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
GCD of numbers is the greatest common divisor
So, the GCD (126, 262, 596, 426) = 2.
Given numbers are 126, 262, 596, 426
The list of prime factors of all numbers are
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 262 are 2 x 131
Prime factors of 596 are 2 x 2 x 149
Prime factors of 426 are 2 x 3 x 71
The highest common occurrence is 21
Therefore, GCD of 126, 262, 596, 426 is 2.
Given numbers are 126, 262, 596, 426
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(126, 262) = 16506
GCD(126, 262) = ( 126 x 262 ) / 16506
= 126 / 262
= 126
Step2:
LCM(2, 596) = 596
GCD(2, 596) = ( 2 x 596 ) / 596
= 2 / 596
= 2
Step3:
LCM(2, 426) = 426
GCD(2, 426) = ( 2 x 426 ) / 426
= 2 / 426
= 2
So, Greatest Common Divisor of 126, 262, 596, 426 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 126, 262, 596, 426
The greatest common divisor of numbers 126, 262, 596, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 262, 596, 426 is 2.
1. What is the GCD of 126, 262, 596, 426?
GCD of given numbers 126, 262, 596, 426 is 2
2. How to calculate the greatest common divisor of 126, 262, 596, 426?
We can find the highest common divisor of 126, 262, 596, 426 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, 262, 596, 426 i.e 2.
3. How can I use the GCD of 126, 262, 596, 426Calculator?
Out the numbers 126, 262, 596, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.