GCD of 785, 343, 986, 380 Calculator

Given Input numbers are 785, 343, 986, 380

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

Divisors of 785 :

The positive integer divisors of 785 that completely divides 785 are.

1, 5, 157, 785

Divisors of 343 :

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

1, 7, 49, 343

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

GCD of numbers is the greatest common divisor

So, the GCD (785, 343, 986, 380) = 1.

Given numbers are 785, 343, 986, 380

The list of prime factors of all numbers are

Prime factors of 785 are 5 x 157

Prime factors of 343 are 7 x 7 x 7

Prime factors of 986 are 2 x 17 x 29

Prime factors of 380 are 2 x 2 x 5 x 19

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

Given numbers are 785, 343, 986, 380

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

Apply this formula for all numbers.

Step1:

LCM(785, 343) = 269255

GCD(785, 343) = ( 785 x 343 ) / 269255

= 785 / 343

= 785

Step2:

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

= 1 / 986

= 1

Step3:

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

= 1 / 380

= 1

So, Greatest Common Divisor of 785, 343, 986, 380 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 117, 413, 372, 229
• GCD of 494, 864, 764, 840
• GCD of 272, 247, 900, 289
• GCD of 507, 507, 547, 352
• GCD of 614, 344, 608, 628

Given numbers are 785, 343, 986, 380
The greatest common divisor of numbers 785, 343, 986, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 785, 343, 986, 380 is 1.

1. What is the GCD of 785, 343, 986, 380?

GCD of given numbers 785, 343, 986, 380 is 1

2. How to calculate the greatest common divisor of 785, 343, 986, 380?

We can find the highest common divisor of 785, 343, 986, 380 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 785, 343, 986, 380 i.e 1.

3. How can I use the GCD of 785, 343, 986, 380Calculator?

Out the numbers 785, 343, 986, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.