Online GCD Calculator is useful to find the GCD of 426, 489, 297, 656 quickly. Get the easiest ways to solve the greatest common divisor of 426, 489, 297, 656 i.e 1 in different methods as follows.
Given Input numbers are 426, 489, 297, 656
In the factoring method, we have to find the divisors of all numbers
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 656 :
The positive integer divisors of 656 that completely divides 656 are.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
GCD of numbers is the greatest common divisor
So, the GCD (426, 489, 297, 656) = 1.
Given numbers are 426, 489, 297, 656
The list of prime factors of all numbers are
Prime factors of 426 are 2 x 3 x 71
Prime factors of 489 are 3 x 163
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 656 are 2 x 2 x 2 x 2 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 426, 489, 297, 656
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(426, 489) = 69438
GCD(426, 489) = ( 426 x 489 ) / 69438
= 426 / 489
= 426
Step2:
LCM(3, 297) = 297
GCD(3, 297) = ( 3 x 297 ) / 297
= 3 / 297
= 3
Step3:
LCM(3, 656) = 1968
GCD(3, 656) = ( 3 x 656 ) / 1968
= 3 / 656
= 3
So, Greatest Common Divisor of 426, 489, 297, 656 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 426, 489, 297, 656
The greatest common divisor of numbers 426, 489, 297, 656 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 489, 297, 656 is 1.
1. What is the GCD of 426, 489, 297, 656?
GCD of given numbers 426, 489, 297, 656 is 1
2. How to calculate the greatest common divisor of 426, 489, 297, 656?
We can find the highest common divisor of 426, 489, 297, 656 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 426, 489, 297, 656 i.e 1.
3. How can I use the GCD of 426, 489, 297, 656Calculator?
Out the numbers 426, 489, 297, 656 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.