GCD of 494, 138, 688, 726 Calculator

Given Input numbers are 494, 138, 688, 726

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 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

GCD of numbers is the greatest common divisor

So, the GCD (494, 138, 688, 726) = 2.

Given numbers are 494, 138, 688, 726

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

Prime factors of 138 are 2 x 3 x 23

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 726 are 2 x 3 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 494, 138, 688, 726 is 2.

Given numbers are 494, 138, 688, 726

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

Apply this formula for all numbers.

Step1:

LCM(494, 138) = 34086

GCD(494, 138) = ( 494 x 138 ) / 34086

= 494 / 138

= 494

Step2:

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

= 2 / 688

= 2

Step3:

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

= 2 / 726

= 2

So, Greatest Common Divisor of 494, 138, 688, 726 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 208, 782, 125, 360
• GCD of 542, 374, 839, 322
• GCD of 641, 223, 863, 398
• GCD of 239, 767, 177, 942
• GCD of 625, 740, 338, 510

Given numbers are 494, 138, 688, 726
The greatest common divisor of numbers 494, 138, 688, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 138, 688, 726 is 2.

1. What is the GCD of 494, 138, 688, 726?

GCD of given numbers 494, 138, 688, 726 is 2

2. How to calculate the greatest common divisor of 494, 138, 688, 726?

We can find the highest common divisor of 494, 138, 688, 726 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, 138, 688, 726 i.e 2.

3. How can I use the GCD of 494, 138, 688, 726Calculator?

Out the numbers 494, 138, 688, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.