GCD of 742, 908, 804 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 742, 908, 804 quickly. Get the easiest ways to solve the greatest common divisor of 742, 908, 804 i.e 2 in different methods as follows.
Given Input numbers are 742, 908, 804
In the factoring method, we have to find the divisors of all numbers
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 908 :
The positive integer divisors of 908 that completely divides 908 are.
1, 2, 4, 227, 454, 908
Divisors of 804 :
The positive integer divisors of 804 that completely divides 804 are.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
GCD of numbers is the greatest common divisor
So, the GCD (742, 908, 804) = 2.
Given numbers are 742, 908, 804
The list of prime factors of all numbers are
Prime factors of 742 are 2 x 7 x 53
Prime factors of 908 are 2 x 2 x 227
Prime factors of 804 are 2 x 2 x 3 x 67
The highest common occurrence is 21
Therefore, GCD of 742, 908, 804 is 2.
Steps to Calculate GCD of 742, 908, 804 using LCM Formula
Given numbers are 742, 908, 804
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(742, 908) = 336868
GCD(742, 908) = ( 742 x 908 ) / 336868
= 742 / 908
= 742
Step2:
LCM(2, 804) = 804
GCD(2, 804) = ( 2 x 804 ) / 804
= 2 / 804
= 2
So, Greatest Common Divisor of 742, 908, 804 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 742, 908, 804
Given numbers are 742, 908, 804
The greatest common divisor of numbers 742, 908, 804 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 908, 804 is 2.
FAQs on GCD of 742, 908, 804 Calculator
1. What is the GCD of 742, 908, 804?
GCD of given numbers 742, 908, 804 is 2
2. How to calculate the greatest common divisor of 742, 908, 804?
We can find the highest common divisor of 742, 908, 804 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 742, 908, 804 i.e 2.
3. How can I use the GCD of 742, 908, 804Calculator?
Out the numbers 742, 908, 804 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.