GCD of 740, 742, 814 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 740, 742, 814 quickly. Get the easiest ways to solve the greatest common divisor of 740, 742, 814 i.e 2 in different methods as follows.
Given Input numbers are 740, 742, 814
In the factoring method, we have to find the divisors of all numbers
Divisors of 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
GCD of numbers is the greatest common divisor
So, the GCD (740, 742, 814) = 2.
Given numbers are 740, 742, 814
The list of prime factors of all numbers are
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 742 are 2 x 7 x 53
Prime factors of 814 are 2 x 11 x 37
The highest common occurrence is 21
Therefore, GCD of 740, 742, 814 is 2.
Steps to Calculate GCD of 740, 742, 814 using LCM Formula
Given numbers are 740, 742, 814
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(740, 742) = 274540
GCD(740, 742) = ( 740 x 742 ) / 274540
= 740 / 742
= 740
Step2:
LCM(2, 814) = 814
GCD(2, 814) = ( 2 x 814 ) / 814
= 2 / 814
= 2
So, Greatest Common Divisor of 740, 742, 814 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 740, 742, 814
Given numbers are 740, 742, 814
The greatest common divisor of numbers 740, 742, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 740, 742, 814 is 2.
FAQs on GCD of 740, 742, 814 Calculator
1. What is the GCD of 740, 742, 814?
GCD of given numbers 740, 742, 814 is 2
2. How to calculate the greatest common divisor of 740, 742, 814?
We can find the highest common divisor of 740, 742, 814 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 740, 742, 814 i.e 2.
3. How can I use the GCD of 740, 742, 814Calculator?
Out the numbers 740, 742, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.