GCD of 748, 917, 565 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 748, 917, 565 quickly. Get the easiest ways to solve the greatest common divisor of 748, 917, 565 i.e 1 in different methods as follows.
Given Input numbers are 748, 917, 565
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 917 :
The positive integer divisors of 917 that completely divides 917 are.
1, 7, 131, 917
Divisors of 565 :
The positive integer divisors of 565 that completely divides 565 are.
1, 5, 113, 565
GCD of numbers is the greatest common divisor
So, the GCD (748, 917, 565) = 1.
Given numbers are 748, 917, 565
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 917 are 7 x 131
Prime factors of 565 are 5 x 113
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 748, 917, 565 using LCM Formula
Given numbers are 748, 917, 565
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 917) = 685916
GCD(748, 917) = ( 748 x 917 ) / 685916
= 748 / 917
= 748
Step2:
LCM(1, 565) = 565
GCD(1, 565) = ( 1 x 565 ) / 565
= 1 / 565
= 1
So, Greatest Common Divisor of 748, 917, 565 is 1
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 748, 917, 565
Given numbers are 748, 917, 565
The greatest common divisor of numbers 748, 917, 565 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 917, 565 is 1.
FAQs on GCD of 748, 917, 565 Calculator
1. What is the GCD of 748, 917, 565?
GCD of given numbers 748, 917, 565 is 1
2. How to calculate the greatest common divisor of 748, 917, 565?
We can find the highest common divisor of 748, 917, 565 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 748, 917, 565 i.e 1.
3. How can I use the GCD of 748, 917, 565Calculator?
Out the numbers 748, 917, 565 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.