Online GCD Calculator is useful to find the GCD of 693, 560, 523, 220 quickly. Get the easiest ways to solve the greatest common divisor of 693, 560, 523, 220 i.e 1 in different methods as follows.
Given Input numbers are 693, 560, 523, 220
In the factoring method, we have to find the divisors of all numbers
Divisors of 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
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 523 :
The positive integer divisors of 523 that completely divides 523 are.
1, 523
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
GCD of numbers is the greatest common divisor
So, the GCD (693, 560, 523, 220) = 1.
Given numbers are 693, 560, 523, 220
The list of prime factors of all numbers are
Prime factors of 693 are 3 x 3 x 7 x 11
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 523 are 523
Prime factors of 220 are 2 x 2 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 693, 560, 523, 220
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(693, 560) = 55440
GCD(693, 560) = ( 693 x 560 ) / 55440
= 693 / 560
= 693
Step2:
LCM(7, 523) = 3661
GCD(7, 523) = ( 7 x 523 ) / 3661
= 7 / 523
= 7
Step3:
LCM(1, 220) = 220
GCD(1, 220) = ( 1 x 220 ) / 220
= 1 / 220
= 1
So, Greatest Common Divisor of 693, 560, 523, 220 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 693, 560, 523, 220
The greatest common divisor of numbers 693, 560, 523, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 693, 560, 523, 220 is 1.
1. What is the GCD of 693, 560, 523, 220?
GCD of given numbers 693, 560, 523, 220 is 1
2. How to calculate the greatest common divisor of 693, 560, 523, 220?
We can find the highest common divisor of 693, 560, 523, 220 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 693, 560, 523, 220 i.e 1.
3. How can I use the GCD of 693, 560, 523, 220Calculator?
Out the numbers 693, 560, 523, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.