Online GCD Calculator is useful to find the GCD of 428, 360, 506, 126 quickly. Get the easiest ways to solve the greatest common divisor of 428, 360, 506, 126 i.e 2 in different methods as follows.
Given Input numbers are 428, 360, 506, 126
In the factoring method, we have to find the divisors of all numbers
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
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
GCD of numbers is the greatest common divisor
So, the GCD (428, 360, 506, 126) = 2.
Given numbers are 428, 360, 506, 126
The list of prime factors of all numbers are
Prime factors of 428 are 2 x 2 x 107
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 506 are 2 x 11 x 23
Prime factors of 126 are 2 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 428, 360, 506, 126 is 2.
Given numbers are 428, 360, 506, 126
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(428, 360) = 38520
GCD(428, 360) = ( 428 x 360 ) / 38520
= 428 / 360
= 428
Step2:
LCM(4, 506) = 1012
GCD(4, 506) = ( 4 x 506 ) / 1012
= 4 / 506
= 4
Step3:
LCM(2, 126) = 126
GCD(2, 126) = ( 2 x 126 ) / 126
= 2 / 126
= 2
So, Greatest Common Divisor of 428, 360, 506, 126 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 428, 360, 506, 126
The greatest common divisor of numbers 428, 360, 506, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 360, 506, 126 is 2.
1. What is the GCD of 428, 360, 506, 126?
GCD of given numbers 428, 360, 506, 126 is 2
2. How to calculate the greatest common divisor of 428, 360, 506, 126?
We can find the highest common divisor of 428, 360, 506, 126 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 428, 360, 506, 126 i.e 2.
3. How can I use the GCD of 428, 360, 506, 126Calculator?
Out the numbers 428, 360, 506, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.