Online GCD Calculator is useful to find the GCD of 567, 952, 413 quickly. Get the easiest ways to solve the greatest common divisor of 567, 952, 413 i.e 7 in different methods as follows.
Given Input numbers are 567, 952, 413
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 952 :
The positive integer divisors of 952 that completely divides 952 are.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 413 :
The positive integer divisors of 413 that completely divides 413 are.
1, 7, 59, 413
GCD of numbers is the greatest common divisor
So, the GCD (567, 952, 413) = 7.
Given numbers are 567, 952, 413
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 952 are 2 x 2 x 2 x 7 x 17
Prime factors of 413 are 7 x 59
The highest common occurrence is 71
Therefore, GCD of 567, 952, 413 is 7.
Given numbers are 567, 952, 413
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(567, 952) = 77112
GCD(567, 952) = ( 567 x 952 ) / 77112
= 567 / 952
= 567
Step2:
LCM(7, 413) = 413
GCD(7, 413) = ( 7 x 413 ) / 413
= 7 / 413
= 7
So, Greatest Common Divisor of 567, 952, 413 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 567, 952, 413
The greatest common divisor of numbers 567, 952, 413 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 952, 413 is 7.
1. What is the GCD of 567, 952, 413?
GCD of given numbers 567, 952, 413 is 7
2. How to calculate the greatest common divisor of 567, 952, 413?
We can find the highest common divisor of 567, 952, 413 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, 952, 413 i.e 7.
3. How can I use the GCD of 567, 952, 413Calculator?
Out the numbers 567, 952, 413 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.