GCD of 496, 394, 375, 289 Calculator

Given Input numbers are 496, 394, 375, 289

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (496, 394, 375, 289) = 1.

Given numbers are 496, 394, 375, 289

The list of prime factors of all numbers are

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 394 are 2 x 197

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 289 are 17 x 17

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

Given numbers are 496, 394, 375, 289

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

Apply this formula for all numbers.

Step1:

LCM(496, 394) = 97712

GCD(496, 394) = ( 496 x 394 ) / 97712

= 496 / 394

= 496

Step2:

LCM(2, 375) = 750

GCD(2, 375) = ( 2 x 375 ) / 750

= 2 / 375

= 2

Step3:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1

So, Greatest Common Divisor of 496, 394, 375, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 412, 467, 236, 675
• GCD of 100, 370, 231, 446
• GCD of 299, 775, 707, 879
• GCD of 506, 693, 552, 228
• GCD of 947, 556, 948, 930

Given numbers are 496, 394, 375, 289
The greatest common divisor of numbers 496, 394, 375, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 394, 375, 289 is 1.

1. What is the GCD of 496, 394, 375, 289?

GCD of given numbers 496, 394, 375, 289 is 1

2. How to calculate the greatest common divisor of 496, 394, 375, 289?

We can find the highest common divisor of 496, 394, 375, 289 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 496, 394, 375, 289 i.e 1.

3. How can I use the GCD of 496, 394, 375, 289Calculator?

Out the numbers 496, 394, 375, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.