GCD of 898, 838, 726, 686 Calculator

Given Input numbers are 898, 838, 726, 686

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

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

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 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

GCD of numbers is the greatest common divisor

So, the GCD (898, 838, 726, 686) = 2.

Given numbers are 898, 838, 726, 686

The list of prime factors of all numbers are

Prime factors of 898 are 2 x 449

Prime factors of 838 are 2 x 419

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

Prime factors of 686 are 2 x 7 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 898, 838, 726, 686 is 2.

Given numbers are 898, 838, 726, 686

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

Apply this formula for all numbers.

Step1:

LCM(898, 838) = 376262

GCD(898, 838) = ( 898 x 838 ) / 376262

= 898 / 838

= 898

Step2:

LCM(2, 726) = 726

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

= 2 / 726

= 2

Step3:

LCM(2, 686) = 686

GCD(2, 686) = ( 2 x 686 ) / 686

= 2 / 686

= 2

So, Greatest Common Divisor of 898, 838, 726, 686 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 508, 251, 358, 935
• GCD of 712, 153, 815, 968
• GCD of 475, 299, 793, 126
• GCD of 869, 324, 538, 461
• GCD of 415, 749, 743, 139

Given numbers are 898, 838, 726, 686
The greatest common divisor of numbers 898, 838, 726, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 898, 838, 726, 686 is 2.

1. What is the GCD of 898, 838, 726, 686?

GCD of given numbers 898, 838, 726, 686 is 2

2. How to calculate the greatest common divisor of 898, 838, 726, 686?

We can find the highest common divisor of 898, 838, 726, 686 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 898, 838, 726, 686 i.e 2.

3. How can I use the GCD of 898, 838, 726, 686Calculator?

Out the numbers 898, 838, 726, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.