GCD of 105, 375, 685, 421 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 105, 375, 685, 421 quickly. Get the easiest ways to solve the greatest common divisor of 105, 375, 685, 421 i.e 1 in different methods as follows.
Given Input numbers are 105, 375, 685, 421
In the factoring method, we have to find the divisors of all numbers
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 685 :
The positive integer divisors of 685 that completely divides 685 are.
1, 5, 137, 685
Divisors of 421 :
The positive integer divisors of 421 that completely divides 421 are.
1, 421
GCD of numbers is the greatest common divisor
So, the GCD (105, 375, 685, 421) = 1.
Given numbers are 105, 375, 685, 421
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 685 are 5 x 137
Prime factors of 421 are 421
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 105, 375, 685, 421 using LCM Formula
Given numbers are 105, 375, 685, 421
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 375) = 2625
GCD(105, 375) = ( 105 x 375 ) / 2625
= 105 / 375
= 105
Step2:
LCM(15, 685) = 2055
GCD(15, 685) = ( 15 x 685 ) / 2055
= 15 / 685
= 15
Step3:
LCM(5, 421) = 2105
GCD(5, 421) = ( 5 x 421 ) / 2105
= 5 / 421
= 5
So, Greatest Common Divisor of 105, 375, 685, 421 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 105, 375, 685, 421
Given numbers are 105, 375, 685, 421
The greatest common divisor of numbers 105, 375, 685, 421 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 375, 685, 421 is 1.
FAQs on GCD of 105, 375, 685, 421 Calculator
1. What is the GCD of 105, 375, 685, 421?
GCD of given numbers 105, 375, 685, 421 is 1
2. How to calculate the greatest common divisor of 105, 375, 685, 421?
We can find the highest common divisor of 105, 375, 685, 421 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 105, 375, 685, 421 i.e 1.
3. How can I use the GCD of 105, 375, 685, 421Calculator?
Out the numbers 105, 375, 685, 421 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.