Online GCD Calculator is useful to find the GCD of 103, 267, 782, 720 quickly. Get the easiest ways to solve the greatest common divisor of 103, 267, 782, 720 i.e 1 in different methods as follows.
Given Input numbers are 103, 267, 782, 720
In the factoring method, we have to find the divisors of all numbers
Divisors of 103 :
The positive integer divisors of 103 that completely divides 103 are.
1, 103
Divisors of 267 :
The positive integer divisors of 267 that completely divides 267 are.
1, 3, 89, 267
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
GCD of numbers is the greatest common divisor
So, the GCD (103, 267, 782, 720) = 1.
Given numbers are 103, 267, 782, 720
The list of prime factors of all numbers are
Prime factors of 103 are 103
Prime factors of 267 are 3 x 89
Prime factors of 782 are 2 x 17 x 23
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 103, 267, 782, 720
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(103, 267) = 27501
GCD(103, 267) = ( 103 x 267 ) / 27501
= 103 / 267
= 103
Step2:
LCM(1, 782) = 782
GCD(1, 782) = ( 1 x 782 ) / 782
= 1 / 782
= 1
Step3:
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
= 1 / 720
= 1
So, Greatest Common Divisor of 103, 267, 782, 720 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 103, 267, 782, 720
The greatest common divisor of numbers 103, 267, 782, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 103, 267, 782, 720 is 1.
1. What is the GCD of 103, 267, 782, 720?
GCD of given numbers 103, 267, 782, 720 is 1
2. How to calculate the greatest common divisor of 103, 267, 782, 720?
We can find the highest common divisor of 103, 267, 782, 720 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 103, 267, 782, 720 i.e 1.
3. How can I use the GCD of 103, 267, 782, 720Calculator?
Out the numbers 103, 267, 782, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.