GCD of 875, 420, 349 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 875, 420, 349 quickly. Get the easiest ways to solve the greatest common divisor of 875, 420, 349 i.e 1 in different methods as follows.
Given Input numbers are 875, 420, 349
In the factoring method, we have to find the divisors of all numbers
Divisors of 875 :
The positive integer divisors of 875 that completely divides 875 are.
1, 5, 7, 25, 35, 125, 175, 875
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 349 :
The positive integer divisors of 349 that completely divides 349 are.
1, 349
GCD of numbers is the greatest common divisor
So, the GCD (875, 420, 349) = 1.
Given numbers are 875, 420, 349
The list of prime factors of all numbers are
Prime factors of 875 are 5 x 5 x 5 x 7
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 349 are 349
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 875, 420, 349 using LCM Formula
Given numbers are 875, 420, 349
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(875, 420) = 10500
GCD(875, 420) = ( 875 x 420 ) / 10500
= 875 / 420
= 875
Step2:
LCM(35, 349) = 12215
GCD(35, 349) = ( 35 x 349 ) / 12215
= 35 / 349
= 35
So, Greatest Common Divisor of 875, 420, 349 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 875, 420, 349
Given numbers are 875, 420, 349
The greatest common divisor of numbers 875, 420, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 875, 420, 349 is 1.
FAQs on GCD of 875, 420, 349 Calculator
1. What is the GCD of 875, 420, 349?
GCD of given numbers 875, 420, 349 is 1
2. How to calculate the greatest common divisor of 875, 420, 349?
We can find the highest common divisor of 875, 420, 349 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 875, 420, 349 i.e 1.
3. How can I use the GCD of 875, 420, 349Calculator?
Out the numbers 875, 420, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.