GCD of 400, 610, 726, 528 Calculator

Given Input numbers are 400, 610, 726, 528

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

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 610 :

The positive integer divisors of 610 that completely divides 610 are.

1, 2, 5, 10, 61, 122, 305, 610

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 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 (400, 610, 726, 528) = 2.

Given numbers are 400, 610, 726, 528

The list of prime factors of all numbers are

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 610 are 2 x 5 x 61

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

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 400, 610, 726, 528 is 2.

Given numbers are 400, 610, 726, 528

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

Apply this formula for all numbers.

Step1:

LCM(400, 610) = 24400

GCD(400, 610) = ( 400 x 610 ) / 24400

= 400 / 610

= 400

Step2:

LCM(10, 726) = 3630

GCD(10, 726) = ( 10 x 726 ) / 3630

= 10 / 726

= 10

Step3:

LCM(2, 528) = 528

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

= 2 / 528

= 2

So, Greatest Common Divisor of 400, 610, 726, 528 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 844, 882, 733, 884
• GCD of 178, 121, 734, 762
• GCD of 658, 542, 437, 857
• GCD of 558, 419, 540, 648
• GCD of 287, 277, 561, 823

Given numbers are 400, 610, 726, 528
The greatest common divisor of numbers 400, 610, 726, 528 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 610, 726, 528 is 2.

1. What is the GCD of 400, 610, 726, 528?

GCD of given numbers 400, 610, 726, 528 is 2

2. How to calculate the greatest common divisor of 400, 610, 726, 528?

We can find the highest common divisor of 400, 610, 726, 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 400, 610, 726, 528 i.e 2.

3. How can I use the GCD of 400, 610, 726, 528Calculator?

Out the numbers 400, 610, 726, 528 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.