Online GCD Calculator is useful to find the GCD of 268, 648, 945, 936 quickly. Get the easiest ways to solve the greatest common divisor of 268, 648, 945, 936 i.e 1 in different methods as follows.
Given Input numbers are 268, 648, 945, 936
In the factoring method, we have to find the divisors of all numbers
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
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 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
GCD of numbers is the greatest common divisor
So, the GCD (268, 648, 945, 936) = 1.
Given numbers are 268, 648, 945, 936
The list of prime factors of all numbers are
Prime factors of 268 are 2 x 2 x 67
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 268, 648, 945, 936
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(268, 648) = 43416
GCD(268, 648) = ( 268 x 648 ) / 43416
= 268 / 648
= 268
Step2:
LCM(4, 945) = 3780
GCD(4, 945) = ( 4 x 945 ) / 3780
= 4 / 945
= 4
Step3:
LCM(1, 936) = 936
GCD(1, 936) = ( 1 x 936 ) / 936
= 1 / 936
= 1
So, Greatest Common Divisor of 268, 648, 945, 936 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 268, 648, 945, 936
The greatest common divisor of numbers 268, 648, 945, 936 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 648, 945, 936 is 1.
1. What is the GCD of 268, 648, 945, 936?
GCD of given numbers 268, 648, 945, 936 is 1
2. How to calculate the greatest common divisor of 268, 648, 945, 936?
We can find the highest common divisor of 268, 648, 945, 936 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 268, 648, 945, 936 i.e 1.
3. How can I use the GCD of 268, 648, 945, 936Calculator?
Out the numbers 268, 648, 945, 936 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.