Online GCD Calculator is useful to find the GCD of 126, 172, 488, 784 quickly. Get the easiest ways to solve the greatest common divisor of 126, 172, 488, 784 i.e 2 in different methods as follows.
Given Input numbers are 126, 172, 488, 784
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 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
GCD of numbers is the greatest common divisor
So, the GCD (126, 172, 488, 784) = 2.
Given numbers are 126, 172, 488, 784
The list of prime factors of all numbers are
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 172 are 2 x 2 x 43
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 126, 172, 488, 784 is 2.
Given numbers are 126, 172, 488, 784
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(126, 172) = 10836
GCD(126, 172) = ( 126 x 172 ) / 10836
= 126 / 172
= 126
Step2:
LCM(2, 488) = 488
GCD(2, 488) = ( 2 x 488 ) / 488
= 2 / 488
= 2
Step3:
LCM(2, 784) = 784
GCD(2, 784) = ( 2 x 784 ) / 784
= 2 / 784
= 2
So, Greatest Common Divisor of 126, 172, 488, 784 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 126, 172, 488, 784
The greatest common divisor of numbers 126, 172, 488, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 172, 488, 784 is 2.
1. What is the GCD of 126, 172, 488, 784?
GCD of given numbers 126, 172, 488, 784 is 2
2. How to calculate the greatest common divisor of 126, 172, 488, 784?
We can find the highest common divisor of 126, 172, 488, 784 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, 172, 488, 784 i.e 2.
3. How can I use the GCD of 126, 172, 488, 784Calculator?
Out the numbers 126, 172, 488, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.