GCD of 535, 345, 31, 375 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 535, 345, 31, 375 quickly. Get the easiest ways to solve the greatest common divisor of 535, 345, 31, 375 i.e 1 in different methods as follows.
Given Input numbers are 535, 345, 31, 375
In the factoring method, we have to find the divisors of all numbers
Divisors of 535 :
The positive integer divisors of 535 that completely divides 535 are.
1, 5, 107, 535
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 31 :
The positive integer divisors of 31 that completely divides 31 are.
1, 31
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
GCD of numbers is the greatest common divisor
So, the GCD (535, 345, 31, 375) = 1.
Given numbers are 535, 345, 31, 375
The list of prime factors of all numbers are
Prime factors of 535 are 5 x 107
Prime factors of 345 are 3 x 5 x 23
Prime factors of 31 are 31
Prime factors of 375 are 3 x 5 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 535, 345, 31, 375 using LCM Formula
Given numbers are 535, 345, 31, 375
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(535, 345) = 36915
GCD(535, 345) = ( 535 x 345 ) / 36915
= 535 / 345
= 535
Step2:
LCM(5, 31) = 155
GCD(5, 31) = ( 5 x 31 ) / 155
= 5 / 31
= 5
Step3:
LCM(1, 375) = 375
GCD(1, 375) = ( 1 x 375 ) / 375
= 1 / 375
= 1
So, Greatest Common Divisor of 535, 345, 31, 375 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 535, 345, 31, 375
Given numbers are 535, 345, 31, 375
The greatest common divisor of numbers 535, 345, 31, 375 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 535, 345, 31, 375 is 1.
FAQs on GCD of 535, 345, 31, 375 Calculator
1. What is the GCD of 535, 345, 31, 375?
GCD of given numbers 535, 345, 31, 375 is 1
2. How to calculate the greatest common divisor of 535, 345, 31, 375?
We can find the highest common divisor of 535, 345, 31, 375 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 535, 345, 31, 375 i.e 1.
3. How can I use the GCD of 535, 345, 31, 375Calculator?
Out the numbers 535, 345, 31, 375 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.