Online GCD Calculator is useful to find the GCD of 565, 775, 747, 220 quickly. Get the easiest ways to solve the greatest common divisor of 565, 775, 747, 220 i.e 1 in different methods as follows.
Given Input numbers are 565, 775, 747, 220
In the factoring method, we have to find the divisors of all numbers
Divisors of 565 :
The positive integer divisors of 565 that completely divides 565 are.
1, 5, 113, 565
Divisors of 775 :
The positive integer divisors of 775 that completely divides 775 are.
1, 5, 25, 31, 155, 775
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
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 (565, 775, 747, 220) = 1.
Given numbers are 565, 775, 747, 220
The list of prime factors of all numbers are
Prime factors of 565 are 5 x 113
Prime factors of 775 are 5 x 5 x 31
Prime factors of 747 are 3 x 3 x 83
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 565, 775, 747, 220
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(565, 775) = 87575
GCD(565, 775) = ( 565 x 775 ) / 87575
= 565 / 775
= 565
Step2:
LCM(5, 747) = 3735
GCD(5, 747) = ( 5 x 747 ) / 3735
= 5 / 747
= 5
Step3:
LCM(1, 220) = 220
GCD(1, 220) = ( 1 x 220 ) / 220
= 1 / 220
= 1
So, Greatest Common Divisor of 565, 775, 747, 220 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 565, 775, 747, 220
The greatest common divisor of numbers 565, 775, 747, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 565, 775, 747, 220 is 1.
1. What is the GCD of 565, 775, 747, 220?
GCD of given numbers 565, 775, 747, 220 is 1
2. How to calculate the greatest common divisor of 565, 775, 747, 220?
We can find the highest common divisor of 565, 775, 747, 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 565, 775, 747, 220 i.e 1.
3. How can I use the GCD of 565, 775, 747, 220Calculator?
Out the numbers 565, 775, 747, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.