GCD of 584, 748, 404, 343 Calculator

Given Input numbers are 584, 748, 404, 343

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

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

GCD of numbers is the greatest common divisor

So, the GCD (584, 748, 404, 343) = 1.

Given numbers are 584, 748, 404, 343

The list of prime factors of all numbers are

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 404 are 2 x 2 x 101

Prime factors of 343 are 7 x 7 x 7

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

Given numbers are 584, 748, 404, 343

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

Apply this formula for all numbers.

Step1:

LCM(584, 748) = 109208

GCD(584, 748) = ( 584 x 748 ) / 109208

= 584 / 748

= 584

Step2:

LCM(4, 404) = 404

GCD(4, 404) = ( 4 x 404 ) / 404

= 4 / 404

= 4

Step3:

LCM(4, 343) = 1372

GCD(4, 343) = ( 4 x 343 ) / 1372

= 4 / 343

= 4

So, Greatest Common Divisor of 584, 748, 404, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 960, 814, 904, 560
• GCD of 622, 253, 908, 992
• GCD of 378, 837, 525, 105
• GCD of 281, 442, 709, 516
• GCD of 520, 378, 291, 170

Given numbers are 584, 748, 404, 343
The greatest common divisor of numbers 584, 748, 404, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 748, 404, 343 is 1.

1. What is the GCD of 584, 748, 404, 343?

GCD of given numbers 584, 748, 404, 343 is 1

2. How to calculate the greatest common divisor of 584, 748, 404, 343?

We can find the highest common divisor of 584, 748, 404, 343 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 584, 748, 404, 343 i.e 1.

3. How can I use the GCD of 584, 748, 404, 343Calculator?

Out the numbers 584, 748, 404, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.