GCD of 343, 616, 793, 690 Calculator

Given Input numbers are 343, 616, 793, 690

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

Divisors of 343 :

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

1, 7, 49, 343

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 793 :

The positive integer divisors of 793 that completely divides 793 are.

1, 13, 61, 793

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

GCD of numbers is the greatest common divisor

So, the GCD (343, 616, 793, 690) = 1.

Given numbers are 343, 616, 793, 690

The list of prime factors of all numbers are

Prime factors of 343 are 7 x 7 x 7

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 793 are 13 x 61

Prime factors of 690 are 2 x 3 x 5 x 23

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

Given numbers are 343, 616, 793, 690

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

Apply this formula for all numbers.

Step1:

LCM(343, 616) = 30184

GCD(343, 616) = ( 343 x 616 ) / 30184

= 343 / 616

= 343

Step2:

LCM(7, 793) = 5551

GCD(7, 793) = ( 7 x 793 ) / 5551

= 7 / 793

= 7

Step3:

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

= 1 / 690

= 1

So, Greatest Common Divisor of 343, 616, 793, 690 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 731, 957, 222, 788
• GCD of 796, 314, 332, 954
• GCD of 287, 399, 110, 990
• GCD of 408, 553, 529, 956
• GCD of 840, 997, 350, 261

Given numbers are 343, 616, 793, 690
The greatest common divisor of numbers 343, 616, 793, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 616, 793, 690 is 1.

1. What is the GCD of 343, 616, 793, 690?

GCD of given numbers 343, 616, 793, 690 is 1

2. How to calculate the greatest common divisor of 343, 616, 793, 690?

We can find the highest common divisor of 343, 616, 793, 690 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 343, 616, 793, 690 i.e 1.

3. How can I use the GCD of 343, 616, 793, 690Calculator?

Out the numbers 343, 616, 793, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.