GCD of 345, 742, 564 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 345, 742, 564 quickly. Get the easiest ways to solve the greatest common divisor of 345, 742, 564 i.e 1 in different methods as follows.
Given Input numbers are 345, 742, 564
In the factoring method, we have to find the divisors of all numbers
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
GCD of numbers is the greatest common divisor
So, the GCD (345, 742, 564) = 1.
Given numbers are 345, 742, 564
The list of prime factors of all numbers are
Prime factors of 345 are 3 x 5 x 23
Prime factors of 742 are 2 x 7 x 53
Prime factors of 564 are 2 x 2 x 3 x 47
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 345, 742, 564 using LCM Formula
Given numbers are 345, 742, 564
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(345, 742) = 255990
GCD(345, 742) = ( 345 x 742 ) / 255990
= 345 / 742
= 345
Step2:
LCM(1, 564) = 564
GCD(1, 564) = ( 1 x 564 ) / 564
= 1 / 564
= 1
So, Greatest Common Divisor of 345, 742, 564 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 345, 742, 564
Given numbers are 345, 742, 564
The greatest common divisor of numbers 345, 742, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 742, 564 is 1.
FAQs on GCD of 345, 742, 564 Calculator
1. What is the GCD of 345, 742, 564?
GCD of given numbers 345, 742, 564 is 1
2. How to calculate the greatest common divisor of 345, 742, 564?
We can find the highest common divisor of 345, 742, 564 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 345, 742, 564 i.e 1.
3. How can I use the GCD of 345, 742, 564Calculator?
Out the numbers 345, 742, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.