Online GCD Calculator is useful to find the GCD of 564, 352, 121, 355 quickly. Get the easiest ways to solve the greatest common divisor of 564, 352, 121, 355 i.e 1 in different methods as follows.
Given Input numbers are 564, 352, 121, 355
In the factoring method, we have to find the divisors of all numbers
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 121 :
The positive integer divisors of 121 that completely divides 121 are.
1, 11, 121
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
GCD of numbers is the greatest common divisor
So, the GCD (564, 352, 121, 355) = 1.
Given numbers are 564, 352, 121, 355
The list of prime factors of all numbers are
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 121 are 11 x 11
Prime factors of 355 are 5 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 564, 352, 121, 355
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(564, 352) = 49632
GCD(564, 352) = ( 564 x 352 ) / 49632
= 564 / 352
= 564
Step2:
LCM(4, 121) = 484
GCD(4, 121) = ( 4 x 121 ) / 484
= 4 / 121
= 4
Step3:
LCM(1, 355) = 355
GCD(1, 355) = ( 1 x 355 ) / 355
= 1 / 355
= 1
So, Greatest Common Divisor of 564, 352, 121, 355 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 564, 352, 121, 355
The greatest common divisor of numbers 564, 352, 121, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 352, 121, 355 is 1.
1. What is the GCD of 564, 352, 121, 355?
GCD of given numbers 564, 352, 121, 355 is 1
2. How to calculate the greatest common divisor of 564, 352, 121, 355?
We can find the highest common divisor of 564, 352, 121, 355 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 564, 352, 121, 355 i.e 1.
3. How can I use the GCD of 564, 352, 121, 355Calculator?
Out the numbers 564, 352, 121, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.