LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 740, 408, 404, 648 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 740, 408, 404, 648 quickly. Get the easiest ways to solve the greatest common divisor of 740, 408, 404, 648 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 740, 408, 404, 648 with Factoring?

Given Input numbers are 740, 408, 404, 648

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 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648


GCD of numbers is the greatest common divisor

So, the GCD (740, 408, 404, 648) = 4.

Find GCD of 740, 408, 404, 648 using Prime Factorization

Given numbers are 740, 408, 404, 648

The list of prime factors of all numbers are

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 404 are 2 x 2 x 101

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 22

Therefore, GCD of 740, 408, 404, 648 is 4.

Steps to Calculate GCD of 740, 408, 404, 648 using LCM Formula

Given numbers are 740, 408, 404, 648

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(740, 408) = 75480

GCD(740, 408) = ( 740 x 408 ) / 75480

= 740 / 408

= 740


Step2:

LCM(4, 404) = 404

GCD(4, 404) = ( 4 x 404 ) / 404

= 4 / 404

= 4


Step3:

LCM(4, 648) = 648

GCD(4, 648) = ( 4 x 648 ) / 648

= 4 / 648

= 4


So, Greatest Common Divisor of 740, 408, 404, 648 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 740, 408, 404, 648

Given numbers are 740, 408, 404, 648
The greatest common divisor of numbers 740, 408, 404, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 740, 408, 404, 648 is 4.

FAQs on GCD of 740, 408, 404, 648 Calculator

1. What is the GCD of 740, 408, 404, 648?

GCD of given numbers 740, 408, 404, 648 is 4


2. How to calculate the greatest common divisor of 740, 408, 404, 648?

We can find the highest common divisor of 740, 408, 404, 648 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, 408, 404, 648 i.e 4.


3. How can I use the GCD of 740, 408, 404, 648Calculator?

Out the numbers 740, 408, 404, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.