GCD of 380, 898, 512, 686 Calculator

Given Input numbers are 380, 898, 512, 686

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

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

Divisors of 898 :

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

1, 2, 449, 898

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

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 (380, 898, 512, 686) = 2.

Given numbers are 380, 898, 512, 686

The list of prime factors of all numbers are

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

Prime factors of 898 are 2 x 449

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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

The highest common occurrence is 2¹

Therefore, GCD of 380, 898, 512, 686 is 2.

Given numbers are 380, 898, 512, 686

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

Apply this formula for all numbers.

Step1:

LCM(380, 898) = 170620

GCD(380, 898) = ( 380 x 898 ) / 170620

= 380 / 898

= 380

Step2:

LCM(2, 512) = 512

GCD(2, 512) = ( 2 x 512 ) / 512

= 2 / 512

= 2

Step3:

LCM(2, 686) = 686

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

= 2 / 686

= 2

So, Greatest Common Divisor of 380, 898, 512, 686 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 383, 992, 787, 159
• GCD of 801, 786, 568, 246
• GCD of 439, 955, 556, 201
• GCD of 537, 494, 872, 881
• GCD of 144, 131, 753, 966

Given numbers are 380, 898, 512, 686
The greatest common divisor of numbers 380, 898, 512, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 898, 512, 686 is 2.

1. What is the GCD of 380, 898, 512, 686?

GCD of given numbers 380, 898, 512, 686 is 2

2. How to calculate the greatest common divisor of 380, 898, 512, 686?

We can find the highest common divisor of 380, 898, 512, 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 380, 898, 512, 686 i.e 2.

3. How can I use the GCD of 380, 898, 512, 686Calculator?

Out the numbers 380, 898, 512, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.