Online GCD Calculator is useful to find the GCD of 126, 638, 286, 348 quickly. Get the easiest ways to solve the greatest common divisor of 126, 638, 286, 348 i.e 2 in different methods as follows.
Given Input numbers are 126, 638, 286, 348
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 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 286 :
The positive integer divisors of 286 that completely divides 286 are.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
GCD of numbers is the greatest common divisor
So, the GCD (126, 638, 286, 348) = 2.
Given numbers are 126, 638, 286, 348
The list of prime factors of all numbers are
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 638 are 2 x 11 x 29
Prime factors of 286 are 2 x 11 x 13
Prime factors of 348 are 2 x 2 x 3 x 29
The highest common occurrence is 21
Therefore, GCD of 126, 638, 286, 348 is 2.
Given numbers are 126, 638, 286, 348
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(126, 638) = 40194
GCD(126, 638) = ( 126 x 638 ) / 40194
= 126 / 638
= 126
Step2:
LCM(2, 286) = 286
GCD(2, 286) = ( 2 x 286 ) / 286
= 2 / 286
= 2
Step3:
LCM(2, 348) = 348
GCD(2, 348) = ( 2 x 348 ) / 348
= 2 / 348
= 2
So, Greatest Common Divisor of 126, 638, 286, 348 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 126, 638, 286, 348
The greatest common divisor of numbers 126, 638, 286, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 638, 286, 348 is 2.
1. What is the GCD of 126, 638, 286, 348?
GCD of given numbers 126, 638, 286, 348 is 2
2. How to calculate the greatest common divisor of 126, 638, 286, 348?
We can find the highest common divisor of 126, 638, 286, 348 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, 638, 286, 348 i.e 2.
3. How can I use the GCD of 126, 638, 286, 348Calculator?
Out the numbers 126, 638, 286, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.