Online GCD Calculator is useful to find the GCD of 732, 496, 309, 869 quickly. Get the easiest ways to solve the greatest common divisor of 732, 496, 309, 869 i.e 1 in different methods as follows.
Given Input numbers are 732, 496, 309, 869
In the factoring method, we have to find the divisors of all numbers
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 869 :
The positive integer divisors of 869 that completely divides 869 are.
1, 11, 79, 869
GCD of numbers is the greatest common divisor
So, the GCD (732, 496, 309, 869) = 1.
Given numbers are 732, 496, 309, 869
The list of prime factors of all numbers are
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 309 are 3 x 103
Prime factors of 869 are 11 x 79
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 732, 496, 309, 869
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(732, 496) = 90768
GCD(732, 496) = ( 732 x 496 ) / 90768
= 732 / 496
= 732
Step2:
LCM(4, 309) = 1236
GCD(4, 309) = ( 4 x 309 ) / 1236
= 4 / 309
= 4
Step3:
LCM(1, 869) = 869
GCD(1, 869) = ( 1 x 869 ) / 869
= 1 / 869
= 1
So, Greatest Common Divisor of 732, 496, 309, 869 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 732, 496, 309, 869
The greatest common divisor of numbers 732, 496, 309, 869 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 496, 309, 869 is 1.
1. What is the GCD of 732, 496, 309, 869?
GCD of given numbers 732, 496, 309, 869 is 1
2. How to calculate the greatest common divisor of 732, 496, 309, 869?
We can find the highest common divisor of 732, 496, 309, 869 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 732, 496, 309, 869 i.e 1.
3. How can I use the GCD of 732, 496, 309, 869Calculator?
Out the numbers 732, 496, 309, 869 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.