Online GCD Calculator is useful to find the GCD of 561, 378, 526, 562 quickly. Get the easiest ways to solve the greatest common divisor of 561, 378, 526, 562 i.e 1 in different methods as follows.
Given Input numbers are 561, 378, 526, 562
In the factoring method, we have to find the divisors of all numbers
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 526 :
The positive integer divisors of 526 that completely divides 526 are.
1, 2, 263, 526
Divisors of 562 :
The positive integer divisors of 562 that completely divides 562 are.
1, 2, 281, 562
GCD of numbers is the greatest common divisor
So, the GCD (561, 378, 526, 562) = 1.
Given numbers are 561, 378, 526, 562
The list of prime factors of all numbers are
Prime factors of 561 are 3 x 11 x 17
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 526 are 2 x 263
Prime factors of 562 are 2 x 281
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 561, 378, 526, 562
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(561, 378) = 70686
GCD(561, 378) = ( 561 x 378 ) / 70686
= 561 / 378
= 561
Step2:
LCM(3, 526) = 1578
GCD(3, 526) = ( 3 x 526 ) / 1578
= 3 / 526
= 3
Step3:
LCM(1, 562) = 562
GCD(1, 562) = ( 1 x 562 ) / 562
= 1 / 562
= 1
So, Greatest Common Divisor of 561, 378, 526, 562 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 561, 378, 526, 562
The greatest common divisor of numbers 561, 378, 526, 562 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 378, 526, 562 is 1.
1. What is the GCD of 561, 378, 526, 562?
GCD of given numbers 561, 378, 526, 562 is 1
2. How to calculate the greatest common divisor of 561, 378, 526, 562?
We can find the highest common divisor of 561, 378, 526, 562 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 561, 378, 526, 562 i.e 1.
3. How can I use the GCD of 561, 378, 526, 562Calculator?
Out the numbers 561, 378, 526, 562 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.