Online GCD Calculator is useful to find the GCD of 565, 692, 748 quickly. Get the easiest ways to solve the greatest common divisor of 565, 692, 748 i.e 1 in different methods as follows.
Given Input numbers are 565, 692, 748
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 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
GCD of numbers is the greatest common divisor
So, the GCD (565, 692, 748) = 1.
Given numbers are 565, 692, 748
The list of prime factors of all numbers are
Prime factors of 565 are 5 x 113
Prime factors of 692 are 2 x 2 x 173
Prime factors of 748 are 2 x 2 x 11 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 565, 692, 748
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(565, 692) = 390980
GCD(565, 692) = ( 565 x 692 ) / 390980
= 565 / 692
= 565
Step2:
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
= 1 / 748
= 1
So, Greatest Common Divisor of 565, 692, 748 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 565, 692, 748
The greatest common divisor of numbers 565, 692, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 565, 692, 748 is 1.
1. What is the GCD of 565, 692, 748?
GCD of given numbers 565, 692, 748 is 1
2. How to calculate the greatest common divisor of 565, 692, 748?
We can find the highest common divisor of 565, 692, 748 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, 692, 748 i.e 1.
3. How can I use the GCD of 565, 692, 748Calculator?
Out the numbers 565, 692, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.