Online GCD Calculator is useful to find the GCD of 253, 264, 480, 293 quickly. Get the easiest ways to solve the greatest common divisor of 253, 264, 480, 293 i.e 1 in different methods as follows.
Given Input numbers are 253, 264, 480, 293
In the factoring method, we have to find the divisors of all numbers
Divisors of 253 :
The positive integer divisors of 253 that completely divides 253 are.
1, 11, 23, 253
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 293 :
The positive integer divisors of 293 that completely divides 293 are.
1, 293
GCD of numbers is the greatest common divisor
So, the GCD (253, 264, 480, 293) = 1.
Given numbers are 253, 264, 480, 293
The list of prime factors of all numbers are
Prime factors of 253 are 11 x 23
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 293 are 293
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 253, 264, 480, 293
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(253, 264) = 6072
GCD(253, 264) = ( 253 x 264 ) / 6072
= 253 / 264
= 253
Step2:
LCM(11, 480) = 5280
GCD(11, 480) = ( 11 x 480 ) / 5280
= 11 / 480
= 11
Step3:
LCM(1, 293) = 293
GCD(1, 293) = ( 1 x 293 ) / 293
= 1 / 293
= 1
So, Greatest Common Divisor of 253, 264, 480, 293 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 253, 264, 480, 293
The greatest common divisor of numbers 253, 264, 480, 293 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 253, 264, 480, 293 is 1.
1. What is the GCD of 253, 264, 480, 293?
GCD of given numbers 253, 264, 480, 293 is 1
2. How to calculate the greatest common divisor of 253, 264, 480, 293?
We can find the highest common divisor of 253, 264, 480, 293 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 253, 264, 480, 293 i.e 1.
3. How can I use the GCD of 253, 264, 480, 293Calculator?
Out the numbers 253, 264, 480, 293 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.