GCD of 688, 792, 241, 400 Calculator

Given Input numbers are 688, 792, 241, 400

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

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 241 :

The positive integer divisors of 241 that completely divides 241 are.

1, 241

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 (688, 792, 241, 400) = 1.

Given numbers are 688, 792, 241, 400

The list of prime factors of all numbers are

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 241 are 241

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 688, 792, 241, 400

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

Apply this formula for all numbers.

Step1:

LCM(688, 792) = 68112

GCD(688, 792) = ( 688 x 792 ) / 68112

= 688 / 792

= 688

Step2:

LCM(8, 241) = 1928

GCD(8, 241) = ( 8 x 241 ) / 1928

= 8 / 241

= 8

Step3:

LCM(1, 400) = 400

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

= 1 / 400

= 1

So, Greatest Common Divisor of 688, 792, 241, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 209, 698, 258, 243
• GCD of 886, 274, 209, 454
• GCD of 411, 657, 470, 542
• GCD of 495, 330, 431, 552
• GCD of 375, 261, 121, 740

Given numbers are 688, 792, 241, 400
The greatest common divisor of numbers 688, 792, 241, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 792, 241, 400 is 1.

1. What is the GCD of 688, 792, 241, 400?

GCD of given numbers 688, 792, 241, 400 is 1

2. How to calculate the greatest common divisor of 688, 792, 241, 400?

We can find the highest common divisor of 688, 792, 241, 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 688, 792, 241, 400 i.e 1.

3. How can I use the GCD of 688, 792, 241, 400Calculator?

Out the numbers 688, 792, 241, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.