GCD of 343, 616, 388, 440 Calculator

Given Input numbers are 343, 616, 388, 440

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 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

GCD of numbers is the greatest common divisor

So, the GCD (343, 616, 388, 440) = 1.

Given numbers are 343, 616, 388, 440

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 388 are 2 x 2 x 97

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

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

Given numbers are 343, 616, 388, 440

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, 388) = 2716

GCD(7, 388) = ( 7 x 388 ) / 2716

= 7 / 388

= 7

Step3:

LCM(1, 440) = 440

GCD(1, 440) = ( 1 x 440 ) / 440

= 1 / 440

= 1

So, Greatest Common Divisor of 343, 616, 388, 440 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 688, 135, 344, 564
• GCD of 661, 847, 798, 606
• GCD of 147, 828, 258, 672
• GCD of 805, 363, 181, 399
• GCD of 271, 266, 857, 644

Given numbers are 343, 616, 388, 440
The greatest common divisor of numbers 343, 616, 388, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 616, 388, 440 is 1.

1. What is the GCD of 343, 616, 388, 440?

GCD of given numbers 343, 616, 388, 440 is 1

2. How to calculate the greatest common divisor of 343, 616, 388, 440?

We can find the highest common divisor of 343, 616, 388, 440 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, 388, 440 i.e 1.

3. How can I use the GCD of 343, 616, 388, 440Calculator?

Out the numbers 343, 616, 388, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.