GCD of 726, 380, 638, 528 Calculator

Given Input numbers are 726, 380, 638, 528

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 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

GCD of numbers is the greatest common divisor

So, the GCD (726, 380, 638, 528) = 2.

Given numbers are 726, 380, 638, 528

The list of prime factors of all numbers are

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

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 638 are 2 x 11 x 29

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 726, 380, 638, 528 is 2.

Given numbers are 726, 380, 638, 528

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

Apply this formula for all numbers.

Step1:

LCM(726, 380) = 137940

GCD(726, 380) = ( 726 x 380 ) / 137940

= 726 / 380

= 726

Step2:

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

= 2 / 638

= 2

Step3:

LCM(2, 528) = 528

GCD(2, 528) = ( 2 x 528 ) / 528

= 2 / 528

= 2

So, Greatest Common Divisor of 726, 380, 638, 528 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 296, 788, 580, 308
• GCD of 675, 367, 689, 931
• GCD of 432, 511, 423, 165
• GCD of 350, 253, 771, 428
• GCD of 123, 921, 375, 287

Given numbers are 726, 380, 638, 528
The greatest common divisor of numbers 726, 380, 638, 528 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 380, 638, 528 is 2.

1. What is the GCD of 726, 380, 638, 528?

GCD of given numbers 726, 380, 638, 528 is 2

2. How to calculate the greatest common divisor of 726, 380, 638, 528?

We can find the highest common divisor of 726, 380, 638, 528 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, 380, 638, 528 i.e 2.

3. How can I use the GCD of 726, 380, 638, 528Calculator?

Out the numbers 726, 380, 638, 528 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.