GCD of 824, 610, 198, 726 Calculator

Given Input numbers are 824, 610, 198, 726

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

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 610 :

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

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

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

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 (824, 610, 198, 726) = 2.

Given numbers are 824, 610, 198, 726

The list of prime factors of all numbers are

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 610 are 2 x 5 x 61

Prime factors of 198 are 2 x 3 x 3 x 11

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

The highest common occurrence is 2¹

Therefore, GCD of 824, 610, 198, 726 is 2.

Given numbers are 824, 610, 198, 726

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

Apply this formula for all numbers.

Step1:

LCM(824, 610) = 251320

GCD(824, 610) = ( 824 x 610 ) / 251320

= 824 / 610

= 824

Step2:

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

= 2 / 198

= 2

Step3:

LCM(2, 726) = 726

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

= 2 / 726

= 2

So, Greatest Common Divisor of 824, 610, 198, 726 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 289, 878, 497, 752
• GCD of 976, 887, 730, 282
• GCD of 519, 807, 207, 378
• GCD of 553, 443, 621, 293
• GCD of 575, 925, 112, 318

Given numbers are 824, 610, 198, 726
The greatest common divisor of numbers 824, 610, 198, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 610, 198, 726 is 2.

1. What is the GCD of 824, 610, 198, 726?

GCD of given numbers 824, 610, 198, 726 is 2

2. How to calculate the greatest common divisor of 824, 610, 198, 726?

We can find the highest common divisor of 824, 610, 198, 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 824, 610, 198, 726 i.e 2.

3. How can I use the GCD of 824, 610, 198, 726Calculator?

Out the numbers 824, 610, 198, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.