Online GCD Calculator is useful to find the GCD of 297, 684, 516, 938 quickly. Get the easiest ways to solve the greatest common divisor of 297, 684, 516, 938 i.e 1 in different methods as follows.
Given Input numbers are 297, 684, 516, 938
In the factoring method, we have to find the divisors of all numbers
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 516 :
The positive integer divisors of 516 that completely divides 516 are.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
GCD of numbers is the greatest common divisor
So, the GCD (297, 684, 516, 938) = 1.
Given numbers are 297, 684, 516, 938
The list of prime factors of all numbers are
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 516 are 2 x 2 x 3 x 43
Prime factors of 938 are 2 x 7 x 67
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 297, 684, 516, 938
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(297, 684) = 22572
GCD(297, 684) = ( 297 x 684 ) / 22572
= 297 / 684
= 297
Step2:
LCM(9, 516) = 1548
GCD(9, 516) = ( 9 x 516 ) / 1548
= 9 / 516
= 9
Step3:
LCM(3, 938) = 2814
GCD(3, 938) = ( 3 x 938 ) / 2814
= 3 / 938
= 3
So, Greatest Common Divisor of 297, 684, 516, 938 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 297, 684, 516, 938
The greatest common divisor of numbers 297, 684, 516, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 297, 684, 516, 938 is 1.
1. What is the GCD of 297, 684, 516, 938?
GCD of given numbers 297, 684, 516, 938 is 1
2. How to calculate the greatest common divisor of 297, 684, 516, 938?
We can find the highest common divisor of 297, 684, 516, 938 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 297, 684, 516, 938 i.e 1.
3. How can I use the GCD of 297, 684, 516, 938Calculator?
Out the numbers 297, 684, 516, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.