GCD of 169, 420, 400 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 169, 420, 400 quickly. Get the easiest ways to solve the greatest common divisor of 169, 420, 400 i.e 1 in different methods as follows.
Given Input numbers are 169, 420, 400
In the factoring method, we have to find the divisors of all numbers
Divisors of 169 :
The positive integer divisors of 169 that completely divides 169 are.
1, 13, 169
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 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
GCD of numbers is the greatest common divisor
So, the GCD (169, 420, 400) = 1.
Given numbers are 169, 420, 400
The list of prime factors of all numbers are
Prime factors of 169 are 13 x 13
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 169, 420, 400 using LCM Formula
Given numbers are 169, 420, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(169, 420) = 70980
GCD(169, 420) = ( 169 x 420 ) / 70980
= 169 / 420
= 169
Step2:
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
= 1 / 400
= 1
So, Greatest Common Divisor of 169, 420, 400 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 169, 420, 400
Given numbers are 169, 420, 400
The greatest common divisor of numbers 169, 420, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 169, 420, 400 is 1.
FAQs on GCD of 169, 420, 400 Calculator
1. What is the GCD of 169, 420, 400?
GCD of given numbers 169, 420, 400 is 1
2. How to calculate the greatest common divisor of 169, 420, 400?
We can find the highest common divisor of 169, 420, 400 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 169, 420, 400 i.e 1.
3. How can I use the GCD of 169, 420, 400Calculator?
Out the numbers 169, 420, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.