GCD of 726, 506, 996, 674 Calculator

Given Input numbers are 726, 506, 996, 674

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

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

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

GCD of numbers is the greatest common divisor

So, the GCD (726, 506, 996, 674) = 2.

Given numbers are 726, 506, 996, 674

The list of prime factors of all numbers are

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

Prime factors of 506 are 2 x 11 x 23

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 674 are 2 x 337

The highest common occurrence is 2¹

Therefore, GCD of 726, 506, 996, 674 is 2.

Given numbers are 726, 506, 996, 674

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

Apply this formula for all numbers.

Step1:

LCM(726, 506) = 16698

GCD(726, 506) = ( 726 x 506 ) / 16698

= 726 / 506

= 726

Step2:

LCM(22, 996) = 10956

GCD(22, 996) = ( 22 x 996 ) / 10956

= 22 / 996

= 22

Step3:

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

= 2 / 674

= 2

So, Greatest Common Divisor of 726, 506, 996, 674 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 243, 278, 744, 686
• GCD of 145, 218, 648, 201
• GCD of 877, 159, 955, 666
• GCD of 557, 374, 476, 700
• GCD of 989, 960, 554, 536

Given numbers are 726, 506, 996, 674
The greatest common divisor of numbers 726, 506, 996, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 506, 996, 674 is 2.

1. What is the GCD of 726, 506, 996, 674?

GCD of given numbers 726, 506, 996, 674 is 2

2. How to calculate the greatest common divisor of 726, 506, 996, 674?

We can find the highest common divisor of 726, 506, 996, 674 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 726, 506, 996, 674 i.e 2.

3. How can I use the GCD of 726, 506, 996, 674Calculator?

Out the numbers 726, 506, 996, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.