GCD of 742, 406, 664, 488 Calculator

Given Input numbers are 742, 406, 664, 488

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 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

GCD of numbers is the greatest common divisor

So, the GCD (742, 406, 664, 488) = 2.

Given numbers are 742, 406, 664, 488

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 406 are 2 x 7 x 29

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 488 are 2 x 2 x 2 x 61

The highest common occurrence is 2¹

Therefore, GCD of 742, 406, 664, 488 is 2.

Given numbers are 742, 406, 664, 488

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

Apply this formula for all numbers.

Step1:

LCM(742, 406) = 21518

GCD(742, 406) = ( 742 x 406 ) / 21518

= 742 / 406

= 742

Step2:

LCM(14, 664) = 4648

GCD(14, 664) = ( 14 x 664 ) / 4648

= 14 / 664

= 14

Step3:

LCM(2, 488) = 488

GCD(2, 488) = ( 2 x 488 ) / 488

= 2 / 488

= 2

So, Greatest Common Divisor of 742, 406, 664, 488 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 488, 257, 390, 305
• GCD of 459, 338, 958, 320
• GCD of 530, 561, 164, 546
• GCD of 558, 228, 764, 716
• GCD of 498, 840, 429, 515

Given numbers are 742, 406, 664, 488
The greatest common divisor of numbers 742, 406, 664, 488 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 406, 664, 488 is 2.

1. What is the GCD of 742, 406, 664, 488?

GCD of given numbers 742, 406, 664, 488 is 2

2. How to calculate the greatest common divisor of 742, 406, 664, 488?

We can find the highest common divisor of 742, 406, 664, 488 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, 406, 664, 488 i.e 2.

3. How can I use the GCD of 742, 406, 664, 488Calculator?

Out the numbers 742, 406, 664, 488 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.