GCD of 644, 742, 420 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 644, 742, 420 quickly. Get the easiest ways to solve the greatest common divisor of 644, 742, 420 i.e 14 in different methods as follows.
Given Input numbers are 644, 742, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 644 :
The positive integer divisors of 644 that completely divides 644 are.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
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
GCD of numbers is the greatest common divisor
So, the GCD (644, 742, 420) = 14.
Given numbers are 644, 742, 420
The list of prime factors of all numbers are
Prime factors of 644 are 2 x 2 x 7 x 23
Prime factors of 742 are 2 x 7 x 53
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 21 x 71
Therefore, GCD of 644, 742, 420 is 14.
Steps to Calculate GCD of 644, 742, 420 using LCM Formula
Given numbers are 644, 742, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(644, 742) = 34132
GCD(644, 742) = ( 644 x 742 ) / 34132
= 644 / 742
= 644
Step2:
LCM(14, 420) = 420
GCD(14, 420) = ( 14 x 420 ) / 420
= 14 / 420
= 14
So, Greatest Common Divisor of 644, 742, 420 is 14
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 644, 742, 420
Given numbers are 644, 742, 420
The greatest common divisor of numbers 644, 742, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 644, 742, 420 is 14.
FAQs on GCD of 644, 742, 420 Calculator
1. What is the GCD of 644, 742, 420?
GCD of given numbers 644, 742, 420 is 14
2. How to calculate the greatest common divisor of 644, 742, 420?
We can find the highest common divisor of 644, 742, 420 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 644, 742, 420 i.e 14.
3. How can I use the GCD of 644, 742, 420Calculator?
Out the numbers 644, 742, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.