GCD of 740, 408, 404, 648 Calculator

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.

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.

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

Here are some samples of GCD of Numbers calculations.

• GCD of 436, 443, 971, 179
• GCD of 126, 105, 671, 404
• GCD of 433, 820, 189, 539
• GCD of 777, 257, 201, 520
• GCD of 990, 803, 633, 152

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.

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.