GCD of 494, 182, 520, 746 Calculator

Given Input numbers are 494, 182, 520, 746

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 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (494, 182, 520, 746) = 2.

Given numbers are 494, 182, 520, 746

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

Prime factors of 182 are 2 x 7 x 13

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 746 are 2 x 373

The highest common occurrence is 2¹

Therefore, GCD of 494, 182, 520, 746 is 2.

Given numbers are 494, 182, 520, 746

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

Apply this formula for all numbers.

Step1:

LCM(494, 182) = 3458

GCD(494, 182) = ( 494 x 182 ) / 3458

= 494 / 182

= 494

Step2:

LCM(26, 520) = 520

GCD(26, 520) = ( 26 x 520 ) / 520

= 26 / 520

= 26

Step3:

LCM(26, 746) = 9698

GCD(26, 746) = ( 26 x 746 ) / 9698

= 26 / 746

= 26

So, Greatest Common Divisor of 494, 182, 520, 746 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 827, 795, 719, 470
• GCD of 181, 896, 387, 453
• GCD of 420, 648, 803, 402
• GCD of 474, 892, 989, 578
• GCD of 354, 445, 444, 747

Given numbers are 494, 182, 520, 746
The greatest common divisor of numbers 494, 182, 520, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 182, 520, 746 is 2.

1. What is the GCD of 494, 182, 520, 746?

GCD of given numbers 494, 182, 520, 746 is 2

2. How to calculate the greatest common divisor of 494, 182, 520, 746?

We can find the highest common divisor of 494, 182, 520, 746 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, 182, 520, 746 i.e 2.

3. How can I use the GCD of 494, 182, 520, 746Calculator?

Out the numbers 494, 182, 520, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.