Online GCD Calculator is useful to find the GCD of 560, 721, 21, 691 quickly. Get the easiest ways to solve the greatest common divisor of 560, 721, 21, 691 i.e 1 in different methods as follows.
Given Input numbers are 560, 721, 21, 691
In the factoring method, we have to find the divisors of all numbers
Divisors of 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 721 :
The positive integer divisors of 721 that completely divides 721 are.
1, 7, 103, 721
Divisors of 21 :
The positive integer divisors of 21 that completely divides 21 are.
1, 3, 7, 21
Divisors of 691 :
The positive integer divisors of 691 that completely divides 691 are.
1, 691
GCD of numbers is the greatest common divisor
So, the GCD (560, 721, 21, 691) = 1.
Given numbers are 560, 721, 21, 691
The list of prime factors of all numbers are
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 721 are 7 x 103
Prime factors of 21 are 3 x 7
Prime factors of 691 are 691
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 560, 721, 21, 691
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(560, 721) = 57680
GCD(560, 721) = ( 560 x 721 ) / 57680
= 560 / 721
= 560
Step2:
LCM(7, 21) = 21
GCD(7, 21) = ( 7 x 21 ) / 21
= 7 / 21
= 7
Step3:
LCM(7, 691) = 4837
GCD(7, 691) = ( 7 x 691 ) / 4837
= 7 / 691
= 7
So, Greatest Common Divisor of 560, 721, 21, 691 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 560, 721, 21, 691
The greatest common divisor of numbers 560, 721, 21, 691 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 721, 21, 691 is 1.
1. What is the GCD of 560, 721, 21, 691?
GCD of given numbers 560, 721, 21, 691 is 1
2. How to calculate the greatest common divisor of 560, 721, 21, 691?
We can find the highest common divisor of 560, 721, 21, 691 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 560, 721, 21, 691 i.e 1.
3. How can I use the GCD of 560, 721, 21, 691Calculator?
Out the numbers 560, 721, 21, 691 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.