Online GCD Calculator is useful to find the GCD of 268, 270, 969, 767 quickly. Get the easiest ways to solve the greatest common divisor of 268, 270, 969, 767 i.e 1 in different methods as follows.
Given Input numbers are 268, 270, 969, 767
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 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 969 :
The positive integer divisors of 969 that completely divides 969 are.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 767 :
The positive integer divisors of 767 that completely divides 767 are.
1, 13, 59, 767
GCD of numbers is the greatest common divisor
So, the GCD (268, 270, 969, 767) = 1.
Given numbers are 268, 270, 969, 767
The list of prime factors of all numbers are
Prime factors of 268 are 2 x 2 x 67
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 969 are 3 x 17 x 19
Prime factors of 767 are 13 x 59
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 268, 270, 969, 767
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(268, 270) = 36180
GCD(268, 270) = ( 268 x 270 ) / 36180
= 268 / 270
= 268
Step2:
LCM(2, 969) = 1938
GCD(2, 969) = ( 2 x 969 ) / 1938
= 2 / 969
= 2
Step3:
LCM(1, 767) = 767
GCD(1, 767) = ( 1 x 767 ) / 767
= 1 / 767
= 1
So, Greatest Common Divisor of 268, 270, 969, 767 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 268, 270, 969, 767
The greatest common divisor of numbers 268, 270, 969, 767 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 270, 969, 767 is 1.
1. What is the GCD of 268, 270, 969, 767?
GCD of given numbers 268, 270, 969, 767 is 1
2. How to calculate the greatest common divisor of 268, 270, 969, 767?
We can find the highest common divisor of 268, 270, 969, 767 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, 270, 969, 767 i.e 1.
3. How can I use the GCD of 268, 270, 969, 767Calculator?
Out the numbers 268, 270, 969, 767 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.