GCD of 338, 380, 969, 200 Calculator

Given Input numbers are 338, 380, 969, 200

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

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

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 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

GCD of numbers is the greatest common divisor

So, the GCD (338, 380, 969, 200) = 1.

Given numbers are 338, 380, 969, 200

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

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

Prime factors of 969 are 3 x 17 x 19

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 338, 380, 969, 200

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

Apply this formula for all numbers.

Step1:

LCM(338, 380) = 64220

GCD(338, 380) = ( 338 x 380 ) / 64220

= 338 / 380

= 338

Step2:

LCM(2, 969) = 1938

GCD(2, 969) = ( 2 x 969 ) / 1938

= 2 / 969

= 2

Step3:

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

= 1 / 200

= 1

So, Greatest Common Divisor of 338, 380, 969, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 771, 363, 873, 475
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Given numbers are 338, 380, 969, 200
The greatest common divisor of numbers 338, 380, 969, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 380, 969, 200 is 1.

1. What is the GCD of 338, 380, 969, 200?

GCD of given numbers 338, 380, 969, 200 is 1

2. How to calculate the greatest common divisor of 338, 380, 969, 200?

We can find the highest common divisor of 338, 380, 969, 200 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 338, 380, 969, 200 i.e 1.

3. How can I use the GCD of 338, 380, 969, 200Calculator?

Out the numbers 338, 380, 969, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.