Online GCD Calculator is useful to find the GCD of 917, 638, 420, 508 quickly. Get the easiest ways to solve the greatest common divisor of 917, 638, 420, 508 i.e 1 in different methods as follows.
Given Input numbers are 917, 638, 420, 508
In the factoring method, we have to find the divisors of all numbers
Divisors of 917 :
The positive integer divisors of 917 that completely divides 917 are.
1, 7, 131, 917
Divisors of 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
GCD of numbers is the greatest common divisor
So, the GCD (917, 638, 420, 508) = 1.
Given numbers are 917, 638, 420, 508
The list of prime factors of all numbers are
Prime factors of 917 are 7 x 131
Prime factors of 638 are 2 x 11 x 29
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 508 are 2 x 2 x 127
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 917, 638, 420, 508
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(917, 638) = 585046
GCD(917, 638) = ( 917 x 638 ) / 585046
= 917 / 638
= 917
Step2:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
Step3:
LCM(1, 508) = 508
GCD(1, 508) = ( 1 x 508 ) / 508
= 1 / 508
= 1
So, Greatest Common Divisor of 917, 638, 420, 508 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 917, 638, 420, 508
The greatest common divisor of numbers 917, 638, 420, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 917, 638, 420, 508 is 1.
1. What is the GCD of 917, 638, 420, 508?
GCD of given numbers 917, 638, 420, 508 is 1
2. How to calculate the greatest common divisor of 917, 638, 420, 508?
We can find the highest common divisor of 917, 638, 420, 508 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 917, 638, 420, 508 i.e 1.
3. How can I use the GCD of 917, 638, 420, 508Calculator?
Out the numbers 917, 638, 420, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.