GCD of 345, 138, 86, 429 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 345, 138, 86, 429 quickly. Get the easiest ways to solve the greatest common divisor of 345, 138, 86, 429 i.e 1 in different methods as follows.
Given Input numbers are 345, 138, 86, 429
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 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 86 :
The positive integer divisors of 86 that completely divides 86 are.
1, 2, 43, 86
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
GCD of numbers is the greatest common divisor
So, the GCD (345, 138, 86, 429) = 1.
Given numbers are 345, 138, 86, 429
The list of prime factors of all numbers are
Prime factors of 345 are 3 x 5 x 23
Prime factors of 138 are 2 x 3 x 23
Prime factors of 86 are 2 x 43
Prime factors of 429 are 3 x 11 x 13
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 345, 138, 86, 429 using LCM Formula
Given numbers are 345, 138, 86, 429
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(345, 138) = 690
GCD(345, 138) = ( 345 x 138 ) / 690
= 345 / 138
= 345
Step2:
LCM(69, 86) = 5934
GCD(69, 86) = ( 69 x 86 ) / 5934
= 69 / 86
= 69
Step3:
LCM(1, 429) = 429
GCD(1, 429) = ( 1 x 429 ) / 429
= 1 / 429
= 1
So, Greatest Common Divisor of 345, 138, 86, 429 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 345, 138, 86, 429
Given numbers are 345, 138, 86, 429
The greatest common divisor of numbers 345, 138, 86, 429 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 138, 86, 429 is 1.
FAQs on GCD of 345, 138, 86, 429 Calculator
1. What is the GCD of 345, 138, 86, 429?
GCD of given numbers 345, 138, 86, 429 is 1
2. How to calculate the greatest common divisor of 345, 138, 86, 429?
We can find the highest common divisor of 345, 138, 86, 429 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, 138, 86, 429 i.e 1.
3. How can I use the GCD of 345, 138, 86, 429Calculator?
Out the numbers 345, 138, 86, 429 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.