GCD of 343, 112, 876, 399 Calculator

Given Input numbers are 343, 112, 876, 399

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 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

GCD of numbers is the greatest common divisor

So, the GCD (343, 112, 876, 399) = 1.

Given numbers are 343, 112, 876, 399

The list of prime factors of all numbers are

Prime factors of 343 are 7 x 7 x 7

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 876 are 2 x 2 x 3 x 73

Prime factors of 399 are 3 x 7 x 19

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

Given numbers are 343, 112, 876, 399

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

Apply this formula for all numbers.

Step1:

LCM(343, 112) = 5488

GCD(343, 112) = ( 343 x 112 ) / 5488

= 343 / 112

= 343

Step2:

LCM(7, 876) = 6132

GCD(7, 876) = ( 7 x 876 ) / 6132

= 7 / 876

= 7

Step3:

LCM(1, 399) = 399

GCD(1, 399) = ( 1 x 399 ) / 399

= 1 / 399

= 1

So, Greatest Common Divisor of 343, 112, 876, 399 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 181, 849, 172, 204
• GCD of 212, 212, 161, 392
• GCD of 848, 252, 963, 117
• GCD of 101, 776, 200, 288
• GCD of 165, 164, 763, 286

Given numbers are 343, 112, 876, 399
The greatest common divisor of numbers 343, 112, 876, 399 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 112, 876, 399 is 1.

1. What is the GCD of 343, 112, 876, 399?

GCD of given numbers 343, 112, 876, 399 is 1

2. How to calculate the greatest common divisor of 343, 112, 876, 399?

We can find the highest common divisor of 343, 112, 876, 399 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, 112, 876, 399 i.e 1.

3. How can I use the GCD of 343, 112, 876, 399Calculator?

Out the numbers 343, 112, 876, 399 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.