GCD of 290, 925, 338, 400 Calculator

Given Input numbers are 290, 925, 338, 400

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

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 925 :

The positive integer divisors of 925 that completely divides 925 are.

1, 5, 25, 37, 185, 925

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (290, 925, 338, 400) = 1.

Given numbers are 290, 925, 338, 400

The list of prime factors of all numbers are

Prime factors of 290 are 2 x 5 x 29

Prime factors of 925 are 5 x 5 x 37

Prime factors of 338 are 2 x 13 x 13

Prime factors of 400 are 2 x 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 290, 925, 338, 400

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

Apply this formula for all numbers.

Step1:

LCM(290, 925) = 53650

GCD(290, 925) = ( 290 x 925 ) / 53650

= 290 / 925

= 290

Step2:

LCM(5, 338) = 1690

GCD(5, 338) = ( 5 x 338 ) / 1690

= 5 / 338

= 5

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 290, 925, 338, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 620, 210, 490, 434
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Given numbers are 290, 925, 338, 400
The greatest common divisor of numbers 290, 925, 338, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 290, 925, 338, 400 is 1.

1. What is the GCD of 290, 925, 338, 400?

GCD of given numbers 290, 925, 338, 400 is 1

2. How to calculate the greatest common divisor of 290, 925, 338, 400?

We can find the highest common divisor of 290, 925, 338, 400 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 290, 925, 338, 400 i.e 1.

3. How can I use the GCD of 290, 925, 338, 400Calculator?

Out the numbers 290, 925, 338, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.