Online GCD Calculator is useful to find the GCD of 561, 252, 704, 672 quickly. Get the easiest ways to solve the greatest common divisor of 561, 252, 704, 672 i.e 1 in different methods as follows.
Given Input numbers are 561, 252, 704, 672
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 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
GCD of numbers is the greatest common divisor
So, the GCD (561, 252, 704, 672) = 1.
Given numbers are 561, 252, 704, 672
The list of prime factors of all numbers are
Prime factors of 561 are 3 x 11 x 17
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 561, 252, 704, 672
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(561, 252) = 47124
GCD(561, 252) = ( 561 x 252 ) / 47124
= 561 / 252
= 561
Step2:
LCM(3, 704) = 2112
GCD(3, 704) = ( 3 x 704 ) / 2112
= 3 / 704
= 3
Step3:
LCM(1, 672) = 672
GCD(1, 672) = ( 1 x 672 ) / 672
= 1 / 672
= 1
So, Greatest Common Divisor of 561, 252, 704, 672 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 561, 252, 704, 672
The greatest common divisor of numbers 561, 252, 704, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 252, 704, 672 is 1.
1. What is the GCD of 561, 252, 704, 672?
GCD of given numbers 561, 252, 704, 672 is 1
2. How to calculate the greatest common divisor of 561, 252, 704, 672?
We can find the highest common divisor of 561, 252, 704, 672 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, 252, 704, 672 i.e 1.
3. How can I use the GCD of 561, 252, 704, 672Calculator?
Out the numbers 561, 252, 704, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.