Online GCD Calculator is useful to find the GCD of 268, 616, 996, 649 quickly. Get the easiest ways to solve the greatest common divisor of 268, 616, 996, 649 i.e 1 in different methods as follows.
Given Input numbers are 268, 616, 996, 649
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 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 649 :
The positive integer divisors of 649 that completely divides 649 are.
1, 11, 59, 649
GCD of numbers is the greatest common divisor
So, the GCD (268, 616, 996, 649) = 1.
Given numbers are 268, 616, 996, 649
The list of prime factors of all numbers are
Prime factors of 268 are 2 x 2 x 67
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 649 are 11 x 59
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 268, 616, 996, 649
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(268, 616) = 41272
GCD(268, 616) = ( 268 x 616 ) / 41272
= 268 / 616
= 268
Step2:
LCM(4, 996) = 996
GCD(4, 996) = ( 4 x 996 ) / 996
= 4 / 996
= 4
Step3:
LCM(4, 649) = 2596
GCD(4, 649) = ( 4 x 649 ) / 2596
= 4 / 649
= 4
So, Greatest Common Divisor of 268, 616, 996, 649 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 268, 616, 996, 649
The greatest common divisor of numbers 268, 616, 996, 649 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 616, 996, 649 is 1.
1. What is the GCD of 268, 616, 996, 649?
GCD of given numbers 268, 616, 996, 649 is 1
2. How to calculate the greatest common divisor of 268, 616, 996, 649?
We can find the highest common divisor of 268, 616, 996, 649 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, 616, 996, 649 i.e 1.
3. How can I use the GCD of 268, 616, 996, 649Calculator?
Out the numbers 268, 616, 996, 649 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.