GCD of 738, 854, 490 Calculator

Given Input numbers are 738, 854, 490

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

GCD of numbers is the greatest common divisor

So, the GCD (738, 854, 490) = 2.

Given numbers are 738, 854, 490

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 854 are 2 x 7 x 61

Prime factors of 490 are 2 x 5 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 738, 854, 490 is 2.

Given numbers are 738, 854, 490

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

Apply this formula for all numbers.

Step1:

LCM(738, 854) = 315126

GCD(738, 854) = ( 738 x 854 ) / 315126

= 738 / 854

= 738

Step2:

LCM(2, 490) = 490

GCD(2, 490) = ( 2 x 490 ) / 490

= 2 / 490

= 2

So, Greatest Common Divisor of 738, 854, 490 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 723, 497, 514
• GCD of 311, 405, 589
• GCD of 482, 808, 829
• GCD of 505, 616, 362
• GCD of 720, 400, 779

Given numbers are 738, 854, 490
The greatest common divisor of numbers 738, 854, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 854, 490 is 2.

1. What is the GCD of 738, 854, 490?

GCD of given numbers 738, 854, 490 is 2

2. How to calculate the greatest common divisor of 738, 854, 490?

We can find the highest common divisor of 738, 854, 490 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 738, 854, 490 i.e 2.

3. How can I use the GCD of 738, 854, 490Calculator?

Out the numbers 738, 854, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.