GCD of 437, 380, 969 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 437, 380, 969 quickly. Get the easiest ways to solve the greatest common divisor of 437, 380, 969 i.e 19 in different methods as follows.
Given Input numbers are 437, 380, 969
In the factoring method, we have to find the divisors of all numbers
Divisors of 437 :
The positive integer divisors of 437 that completely divides 437 are.
1, 19, 23, 437
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 969 :
The positive integer divisors of 969 that completely divides 969 are.
1, 3, 17, 19, 51, 57, 323, 969
GCD of numbers is the greatest common divisor
So, the GCD (437, 380, 969) = 19.
Given numbers are 437, 380, 969
The list of prime factors of all numbers are
Prime factors of 437 are 19 x 23
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 969 are 3 x 17 x 19
The highest common occurrence is 191
Therefore, GCD of 437, 380, 969 is 19.
Steps to Calculate GCD of 437, 380, 969 using LCM Formula
Given numbers are 437, 380, 969
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(437, 380) = 8740
GCD(437, 380) = ( 437 x 380 ) / 8740
= 437 / 380
= 437
Step2:
LCM(19, 969) = 969
GCD(19, 969) = ( 19 x 969 ) / 969
= 19 / 969
= 19
So, Greatest Common Divisor of 437, 380, 969 is 19
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 437, 380, 969
Given numbers are 437, 380, 969
The greatest common divisor of numbers 437, 380, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 437, 380, 969 is 19.
FAQs on GCD of 437, 380, 969 Calculator
1. What is the GCD of 437, 380, 969?
GCD of given numbers 437, 380, 969 is 19
2. How to calculate the greatest common divisor of 437, 380, 969?
We can find the highest common divisor of 437, 380, 969 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 437, 380, 969 i.e 19.
3. How can I use the GCD of 437, 380, 969Calculator?
Out the numbers 437, 380, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.