GCD of 918, 726, 898, 372 Calculator

Given Input numbers are 918, 726, 898, 372

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

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

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 898 :

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

1, 2, 449, 898

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

GCD of numbers is the greatest common divisor

So, the GCD (918, 726, 898, 372) = 2.

Given numbers are 918, 726, 898, 372

The list of prime factors of all numbers are

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

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

Prime factors of 898 are 2 x 449

Prime factors of 372 are 2 x 2 x 3 x 31

The highest common occurrence is 2¹

Therefore, GCD of 918, 726, 898, 372 is 2.

Given numbers are 918, 726, 898, 372

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

Apply this formula for all numbers.

Step1:

LCM(918, 726) = 111078

GCD(918, 726) = ( 918 x 726 ) / 111078

= 918 / 726

= 918

Step2:

LCM(6, 898) = 2694

GCD(6, 898) = ( 6 x 898 ) / 2694

= 6 / 898

= 6

Step3:

LCM(2, 372) = 372

GCD(2, 372) = ( 2 x 372 ) / 372

= 2 / 372

= 2

So, Greatest Common Divisor of 918, 726, 898, 372 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 931, 123, 130, 439
• GCD of 740, 344, 153, 791
• GCD of 516, 892, 428, 570
• GCD of 297, 184, 942, 776
• GCD of 583, 509, 811, 535

Given numbers are 918, 726, 898, 372
The greatest common divisor of numbers 918, 726, 898, 372 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 726, 898, 372 is 2.

1. What is the GCD of 918, 726, 898, 372?

GCD of given numbers 918, 726, 898, 372 is 2

2. How to calculate the greatest common divisor of 918, 726, 898, 372?

We can find the highest common divisor of 918, 726, 898, 372 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 918, 726, 898, 372 i.e 2.

3. How can I use the GCD of 918, 726, 898, 372Calculator?

Out the numbers 918, 726, 898, 372 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.