Online GCD Calculator is useful to find the GCD of 267, 780, 472, 109 quickly. Get the easiest ways to solve the greatest common divisor of 267, 780, 472, 109 i.e 1 in different methods as follows.
Given Input numbers are 267, 780, 472, 109
In the factoring method, we have to find the divisors of all numbers
Divisors of 267 :
The positive integer divisors of 267 that completely divides 267 are.
1, 3, 89, 267
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
GCD of numbers is the greatest common divisor
So, the GCD (267, 780, 472, 109) = 1.
Given numbers are 267, 780, 472, 109
The list of prime factors of all numbers are
Prime factors of 267 are 3 x 89
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 109 are 109
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 267, 780, 472, 109
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(267, 780) = 69420
GCD(267, 780) = ( 267 x 780 ) / 69420
= 267 / 780
= 267
Step2:
LCM(3, 472) = 1416
GCD(3, 472) = ( 3 x 472 ) / 1416
= 3 / 472
= 3
Step3:
LCM(1, 109) = 109
GCD(1, 109) = ( 1 x 109 ) / 109
= 1 / 109
= 1
So, Greatest Common Divisor of 267, 780, 472, 109 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 267, 780, 472, 109
The greatest common divisor of numbers 267, 780, 472, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 780, 472, 109 is 1.
1. What is the GCD of 267, 780, 472, 109?
GCD of given numbers 267, 780, 472, 109 is 1
2. How to calculate the greatest common divisor of 267, 780, 472, 109?
We can find the highest common divisor of 267, 780, 472, 109 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 267, 780, 472, 109 i.e 1.
3. How can I use the GCD of 267, 780, 472, 109Calculator?
Out the numbers 267, 780, 472, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.