GCD of 784, 644, 742 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 784, 644, 742 quickly. Get the easiest ways to solve the greatest common divisor of 784, 644, 742 i.e 14 in different methods as follows.
Given Input numbers are 784, 644, 742
In the factoring method, we have to find the divisors of all numbers
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
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
GCD of numbers is the greatest common divisor
So, the GCD (784, 644, 742) = 14.
Given numbers are 784, 644, 742
The list of prime factors of all numbers are
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 644 are 2 x 2 x 7 x 23
Prime factors of 742 are 2 x 7 x 53
The highest common occurrence is 21 x 71
Therefore, GCD of 784, 644, 742 is 14.
Steps to Calculate GCD of 784, 644, 742 using LCM Formula
Given numbers are 784, 644, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(784, 644) = 18032
GCD(784, 644) = ( 784 x 644 ) / 18032
= 784 / 644
= 784
Step2:
LCM(28, 742) = 1484
GCD(28, 742) = ( 28 x 742 ) / 1484
= 28 / 742
= 28
So, Greatest Common Divisor of 784, 644, 742 is 14
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 784, 644, 742
Given numbers are 784, 644, 742
The greatest common divisor of numbers 784, 644, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 644, 742 is 14.
FAQs on GCD of 784, 644, 742 Calculator
1. What is the GCD of 784, 644, 742?
GCD of given numbers 784, 644, 742 is 14
2. How to calculate the greatest common divisor of 784, 644, 742?
We can find the highest common divisor of 784, 644, 742 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 784, 644, 742 i.e 14.
3. How can I use the GCD of 784, 644, 742Calculator?
Out the numbers 784, 644, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.