GCD of 309, 147, 688, 613 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 309, 147, 688, 613 quickly. Get the easiest ways to solve the greatest common divisor of 309, 147, 688, 613 i.e 1 in different methods as follows.
Given Input numbers are 309, 147, 688, 613
In the factoring method, we have to find the divisors of all numbers
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 613 :
The positive integer divisors of 613 that completely divides 613 are.
1, 613
GCD of numbers is the greatest common divisor
So, the GCD (309, 147, 688, 613) = 1.
Given numbers are 309, 147, 688, 613
The list of prime factors of all numbers are
Prime factors of 309 are 3 x 103
Prime factors of 147 are 3 x 7 x 7
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 613 are 613
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 309, 147, 688, 613 using LCM Formula
Given numbers are 309, 147, 688, 613
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(309, 147) = 15141
GCD(309, 147) = ( 309 x 147 ) / 15141
= 309 / 147
= 309
Step2:
LCM(3, 688) = 2064
GCD(3, 688) = ( 3 x 688 ) / 2064
= 3 / 688
= 3
Step3:
LCM(1, 613) = 613
GCD(1, 613) = ( 1 x 613 ) / 613
= 1 / 613
= 1
So, Greatest Common Divisor of 309, 147, 688, 613 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 309, 147, 688, 613
Given numbers are 309, 147, 688, 613
The greatest common divisor of numbers 309, 147, 688, 613 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 147, 688, 613 is 1.
FAQs on GCD of 309, 147, 688, 613 Calculator
1. What is the GCD of 309, 147, 688, 613?
GCD of given numbers 309, 147, 688, 613 is 1
2. How to calculate the greatest common divisor of 309, 147, 688, 613?
We can find the highest common divisor of 309, 147, 688, 613 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 309, 147, 688, 613 i.e 1.
3. How can I use the GCD of 309, 147, 688, 613Calculator?
Out the numbers 309, 147, 688, 613 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.