GCD of 343, 112, 956, 878 Calculator

Given Input numbers are 343, 112, 956, 878

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 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

Divisors of 878 :

The positive integer divisors of 878 that completely divides 878 are.

1, 2, 439, 878

GCD of numbers is the greatest common divisor

So, the GCD (343, 112, 956, 878) = 1.

Given numbers are 343, 112, 956, 878

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 956 are 2 x 2 x 239

Prime factors of 878 are 2 x 439

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

Given numbers are 343, 112, 956, 878

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, 956) = 6692

GCD(7, 956) = ( 7 x 956 ) / 6692

= 7 / 956

= 7

Step3:

LCM(1, 878) = 878

GCD(1, 878) = ( 1 x 878 ) / 878

= 1 / 878

= 1

So, Greatest Common Divisor of 343, 112, 956, 878 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 944, 220, 211, 811
• GCD of 173, 964, 360, 671
• GCD of 923, 493, 712, 401
• GCD of 882, 832, 874, 516
• GCD of 880, 720, 280, 352

Given numbers are 343, 112, 956, 878
The greatest common divisor of numbers 343, 112, 956, 878 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 112, 956, 878 is 1.

1. What is the GCD of 343, 112, 956, 878?

GCD of given numbers 343, 112, 956, 878 is 1

2. How to calculate the greatest common divisor of 343, 112, 956, 878?

We can find the highest common divisor of 343, 112, 956, 878 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, 956, 878 i.e 1.

3. How can I use the GCD of 343, 112, 956, 878Calculator?

Out the numbers 343, 112, 956, 878 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.