Online GCD Calculator is useful to find the GCD of 648, 315, 970, 508 quickly. Get the easiest ways to solve the greatest common divisor of 648, 315, 970, 508 i.e 1 in different methods as follows.
Given Input numbers are 648, 315, 970, 508
In the factoring method, we have to find the divisors of all numbers
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 970 :
The positive integer divisors of 970 that completely divides 970 are.
1, 2, 5, 10, 97, 194, 485, 970
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 (648, 315, 970, 508) = 1.
Given numbers are 648, 315, 970, 508
The list of prime factors of all numbers are
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 970 are 2 x 5 x 97
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 648, 315, 970, 508
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(648, 315) = 22680
GCD(648, 315) = ( 648 x 315 ) / 22680
= 648 / 315
= 648
Step2:
LCM(9, 970) = 8730
GCD(9, 970) = ( 9 x 970 ) / 8730
= 9 / 970
= 9
Step3:
LCM(1, 508) = 508
GCD(1, 508) = ( 1 x 508 ) / 508
= 1 / 508
= 1
So, Greatest Common Divisor of 648, 315, 970, 508 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 648, 315, 970, 508
The greatest common divisor of numbers 648, 315, 970, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 315, 970, 508 is 1.
1. What is the GCD of 648, 315, 970, 508?
GCD of given numbers 648, 315, 970, 508 is 1
2. How to calculate the greatest common divisor of 648, 315, 970, 508?
We can find the highest common divisor of 648, 315, 970, 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 648, 315, 970, 508 i.e 1.
3. How can I use the GCD of 648, 315, 970, 508Calculator?
Out the numbers 648, 315, 970, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.