GCD of 341, 745, 728, 688 Calculator

Given Input numbers are 341, 745, 728, 688

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

Divisors of 341 :

The positive integer divisors of 341 that completely divides 341 are.

1, 11, 31, 341

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

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 688 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (341, 745, 728, 688) = 1.

Given numbers are 341, 745, 728, 688

The list of prime factors of all numbers are

Prime factors of 341 are 11 x 31

Prime factors of 745 are 5 x 149

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

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

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

Given numbers are 341, 745, 728, 688

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

Apply this formula for all numbers.

Step1:

LCM(341, 745) = 254045

GCD(341, 745) = ( 341 x 745 ) / 254045

= 341 / 745

= 341

Step2:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

Step3:

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

= 1 / 688

= 1

So, Greatest Common Divisor of 341, 745, 728, 688 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 450, 379, 201, 634
• GCD of 604, 750, 306, 920
• GCD of 247, 551, 406, 624
• GCD of 120, 455, 261, 145
• GCD of 171, 933, 122, 598

Given numbers are 341, 745, 728, 688
The greatest common divisor of numbers 341, 745, 728, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 341, 745, 728, 688 is 1.

1. What is the GCD of 341, 745, 728, 688?

GCD of given numbers 341, 745, 728, 688 is 1

2. How to calculate the greatest common divisor of 341, 745, 728, 688?

We can find the highest common divisor of 341, 745, 728, 688 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 341, 745, 728, 688 i.e 1.

3. How can I use the GCD of 341, 745, 728, 688Calculator?

Out the numbers 341, 745, 728, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.