GCD of 898, 734, 380 Calculator

Given Input numbers are 898, 734, 380

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 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

GCD of numbers is the greatest common divisor

So, the GCD (898, 734, 380) = 2.

Given numbers are 898, 734, 380

The list of prime factors of all numbers are

Prime factors of 898 are 2 x 449

Prime factors of 734 are 2 x 367

Prime factors of 380 are 2 x 2 x 5 x 19

The highest common occurrence is 2¹

Therefore, GCD of 898, 734, 380 is 2.

Given numbers are 898, 734, 380

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

Apply this formula for all numbers.

Step1:

LCM(898, 734) = 329566

GCD(898, 734) = ( 898 x 734 ) / 329566

= 898 / 734

= 898

Step2:

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

= 2 / 380

= 2

So, Greatest Common Divisor of 898, 734, 380 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 114, 941, 338
• GCD of 752, 500, 115
• GCD of 868, 984, 361
• GCD of 155, 843, 780
• GCD of 333, 119, 806

Given numbers are 898, 734, 380
The greatest common divisor of numbers 898, 734, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 898, 734, 380 is 2.

1. What is the GCD of 898, 734, 380?

GCD of given numbers 898, 734, 380 is 2

2. How to calculate the greatest common divisor of 898, 734, 380?

We can find the highest common divisor of 898, 734, 380 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, 734, 380 i.e 2.

3. How can I use the GCD of 898, 734, 380Calculator?

Out the numbers 898, 734, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.