Online GCD Calculator is useful to find the GCD of 948, 972, 309, 518 quickly. Get the easiest ways to solve the greatest common divisor of 948, 972, 309, 518 i.e 1 in different methods as follows.
Given Input numbers are 948, 972, 309, 518
In the factoring method, we have to find the divisors of all numbers
Divisors of 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
GCD of numbers is the greatest common divisor
So, the GCD (948, 972, 309, 518) = 1.
Given numbers are 948, 972, 309, 518
The list of prime factors of all numbers are
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 309 are 3 x 103
Prime factors of 518 are 2 x 7 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 948, 972, 309, 518
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(948, 972) = 76788
GCD(948, 972) = ( 948 x 972 ) / 76788
= 948 / 972
= 948
Step2:
LCM(12, 309) = 1236
GCD(12, 309) = ( 12 x 309 ) / 1236
= 12 / 309
= 12
Step3:
LCM(3, 518) = 1554
GCD(3, 518) = ( 3 x 518 ) / 1554
= 3 / 518
= 3
So, Greatest Common Divisor of 948, 972, 309, 518 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 948, 972, 309, 518
The greatest common divisor of numbers 948, 972, 309, 518 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 972, 309, 518 is 1.
1. What is the GCD of 948, 972, 309, 518?
GCD of given numbers 948, 972, 309, 518 is 1
2. How to calculate the greatest common divisor of 948, 972, 309, 518?
We can find the highest common divisor of 948, 972, 309, 518 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 948, 972, 309, 518 i.e 1.
3. How can I use the GCD of 948, 972, 309, 518Calculator?
Out the numbers 948, 972, 309, 518 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.