GCD of 380, 644, 142, 343 Calculator

Given Input numbers are 380, 644, 142, 343

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

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

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

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 (380, 644, 142, 343) = 1.

Given numbers are 380, 644, 142, 343

The list of prime factors of all numbers are

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

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 142 are 2 x 71

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 380, 644, 142, 343

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

Apply this formula for all numbers.

Step1:

LCM(380, 644) = 61180

GCD(380, 644) = ( 380 x 644 ) / 61180

= 380 / 644

= 380

Step2:

LCM(4, 142) = 284

GCD(4, 142) = ( 4 x 142 ) / 284

= 4 / 142

= 4

Step3:

LCM(2, 343) = 686

GCD(2, 343) = ( 2 x 343 ) / 686

= 2 / 343

= 2

So, Greatest Common Divisor of 380, 644, 142, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 245, 626, 454, 983
• GCD of 402, 110, 143, 771
• GCD of 293, 932, 534, 718
• GCD of 278, 372, 582, 150
• GCD of 421, 973, 641, 285

Given numbers are 380, 644, 142, 343
The greatest common divisor of numbers 380, 644, 142, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 644, 142, 343 is 1.

1. What is the GCD of 380, 644, 142, 343?

GCD of given numbers 380, 644, 142, 343 is 1

2. How to calculate the greatest common divisor of 380, 644, 142, 343?

We can find the highest common divisor of 380, 644, 142, 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 380, 644, 142, 343 i.e 1.

3. How can I use the GCD of 380, 644, 142, 343Calculator?

Out the numbers 380, 644, 142, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.