GCD of 898, 660, 470, 738 Calculator

Given Input numbers are 898, 660, 470, 738

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 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

GCD of numbers is the greatest common divisor

So, the GCD (898, 660, 470, 738) = 2.

Given numbers are 898, 660, 470, 738

The list of prime factors of all numbers are

Prime factors of 898 are 2 x 449

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 470 are 2 x 5 x 47

Prime factors of 738 are 2 x 3 x 3 x 41

The highest common occurrence is 2¹

Therefore, GCD of 898, 660, 470, 738 is 2.

Given numbers are 898, 660, 470, 738

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

Apply this formula for all numbers.

Step1:

LCM(898, 660) = 296340

GCD(898, 660) = ( 898 x 660 ) / 296340

= 898 / 660

= 898

Step2:

LCM(2, 470) = 470

GCD(2, 470) = ( 2 x 470 ) / 470

= 2 / 470

= 2

Step3:

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

= 2 / 738

= 2

So, Greatest Common Divisor of 898, 660, 470, 738 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 949, 737, 332, 922
• GCD of 245, 803, 387, 538
• GCD of 308, 958, 297, 859
• GCD of 222, 172, 957, 260
• GCD of 245, 659, 802, 215

Given numbers are 898, 660, 470, 738
The greatest common divisor of numbers 898, 660, 470, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 898, 660, 470, 738 is 2.

1. What is the GCD of 898, 660, 470, 738?

GCD of given numbers 898, 660, 470, 738 is 2

2. How to calculate the greatest common divisor of 898, 660, 470, 738?

We can find the highest common divisor of 898, 660, 470, 738 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, 660, 470, 738 i.e 2.

3. How can I use the GCD of 898, 660, 470, 738Calculator?

Out the numbers 898, 660, 470, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.