Online GCD Calculator is useful to find the GCD of 567, 342, 732, 448 quickly. Get the easiest ways to solve the greatest common divisor of 567, 342, 732, 448 i.e 1 in different methods as follows.
Given Input numbers are 567, 342, 732, 448
In the factoring method, we have to find the divisors of all numbers
Divisors of 567 :
The positive integer divisors of 567 that completely divides 567 are.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
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 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
GCD of numbers is the greatest common divisor
So, the GCD (567, 342, 732, 448) = 1.
Given numbers are 567, 342, 732, 448
The list of prime factors of all numbers are
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 567, 342, 732, 448
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(567, 342) = 21546
GCD(567, 342) = ( 567 x 342 ) / 21546
= 567 / 342
= 567
Step2:
LCM(9, 732) = 2196
GCD(9, 732) = ( 9 x 732 ) / 2196
= 9 / 732
= 9
Step3:
LCM(3, 448) = 1344
GCD(3, 448) = ( 3 x 448 ) / 1344
= 3 / 448
= 3
So, Greatest Common Divisor of 567, 342, 732, 448 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 567, 342, 732, 448
The greatest common divisor of numbers 567, 342, 732, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 342, 732, 448 is 1.
1. What is the GCD of 567, 342, 732, 448?
GCD of given numbers 567, 342, 732, 448 is 1
2. How to calculate the greatest common divisor of 567, 342, 732, 448?
We can find the highest common divisor of 567, 342, 732, 448 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 567, 342, 732, 448 i.e 1.
3. How can I use the GCD of 567, 342, 732, 448Calculator?
Out the numbers 567, 342, 732, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.