GCD of 494, 288, 416, 740 Calculator

Given Input numbers are 494, 288, 416, 740

In the factoring method, we have to find the divisors of all numbers

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

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

GCD of numbers is the greatest common divisor

So, the GCD (494, 288, 416, 740) = 2.

Given numbers are 494, 288, 416, 740

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 494, 288, 416, 740 is 2.

Given numbers are 494, 288, 416, 740

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

Apply this formula for all numbers.

Step1:

LCM(494, 288) = 71136

GCD(494, 288) = ( 494 x 288 ) / 71136

= 494 / 288

= 494

Step2:

LCM(2, 416) = 416

GCD(2, 416) = ( 2 x 416 ) / 416

= 2 / 416

= 2

Step3:

LCM(2, 740) = 740

GCD(2, 740) = ( 2 x 740 ) / 740

= 2 / 740

= 2

So, Greatest Common Divisor of 494, 288, 416, 740 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 350, 753, 334, 532
• GCD of 705, 876, 353, 193
• GCD of 535, 315, 390, 399
• GCD of 947, 895, 565, 493
• GCD of 552, 333, 209, 844

Given numbers are 494, 288, 416, 740
The greatest common divisor of numbers 494, 288, 416, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 288, 416, 740 is 2.

1. What is the GCD of 494, 288, 416, 740?

GCD of given numbers 494, 288, 416, 740 is 2

2. How to calculate the greatest common divisor of 494, 288, 416, 740?

We can find the highest common divisor of 494, 288, 416, 740 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 494, 288, 416, 740 i.e 2.

3. How can I use the GCD of 494, 288, 416, 740Calculator?

Out the numbers 494, 288, 416, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.