GCD of 728, 600, 689, 343 Calculator

Given Input numbers are 728, 600, 689, 343

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

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

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 (728, 600, 689, 343) = 1.

Given numbers are 728, 600, 689, 343

The list of prime factors of all numbers are

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 689 are 13 x 53

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 728, 600, 689, 343

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

Apply this formula for all numbers.

Step1:

LCM(728, 600) = 54600

GCD(728, 600) = ( 728 x 600 ) / 54600

= 728 / 600

= 728

Step2:

LCM(8, 689) = 5512

GCD(8, 689) = ( 8 x 689 ) / 5512

= 8 / 689

= 8

Step3:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

So, Greatest Common Divisor of 728, 600, 689, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 307, 901, 974, 644
• GCD of 472, 238, 407, 859
• GCD of 753, 971, 874, 607
• GCD of 261, 477, 953, 500
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Given numbers are 728, 600, 689, 343
The greatest common divisor of numbers 728, 600, 689, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 600, 689, 343 is 1.

1. What is the GCD of 728, 600, 689, 343?

GCD of given numbers 728, 600, 689, 343 is 1

2. How to calculate the greatest common divisor of 728, 600, 689, 343?

We can find the highest common divisor of 728, 600, 689, 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 728, 600, 689, 343 i.e 1.

3. How can I use the GCD of 728, 600, 689, 343Calculator?

Out the numbers 728, 600, 689, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.