Online GCD Calculator is useful to find the GCD of 426, 497, 687 quickly. Get the easiest ways to solve the greatest common divisor of 426, 497, 687 i.e 1 in different methods as follows.
Given Input numbers are 426, 497, 687
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 497 :
The positive integer divisors of 497 that completely divides 497 are.
1, 7, 71, 497
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
GCD of numbers is the greatest common divisor
So, the GCD (426, 497, 687) = 1.
Given numbers are 426, 497, 687
The list of prime factors of all numbers are
Prime factors of 426 are 2 x 3 x 71
Prime factors of 497 are 7 x 71
Prime factors of 687 are 3 x 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 426, 497, 687
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(426, 497) = 2982
GCD(426, 497) = ( 426 x 497 ) / 2982
= 426 / 497
= 426
Step2:
LCM(71, 687) = 48777
GCD(71, 687) = ( 71 x 687 ) / 48777
= 71 / 687
= 71
So, Greatest Common Divisor of 426, 497, 687 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 426, 497, 687
The greatest common divisor of numbers 426, 497, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 497, 687 is 1.
1. What is the GCD of 426, 497, 687?
GCD of given numbers 426, 497, 687 is 1
2. How to calculate the greatest common divisor of 426, 497, 687?
We can find the highest common divisor of 426, 497, 687 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, 497, 687 i.e 1.
3. How can I use the GCD of 426, 497, 687Calculator?
Out the numbers 426, 497, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.