GCD of 856, 343, 678, 422 Calculator

Given Input numbers are 856, 343, 678, 422

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

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 343 :

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

1, 7, 49, 343

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

GCD of numbers is the greatest common divisor

So, the GCD (856, 343, 678, 422) = 1.

Given numbers are 856, 343, 678, 422

The list of prime factors of all numbers are

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 343 are 7 x 7 x 7

Prime factors of 678 are 2 x 3 x 113

Prime factors of 422 are 2 x 211

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

Given numbers are 856, 343, 678, 422

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

Apply this formula for all numbers.

Step1:

LCM(856, 343) = 293608

GCD(856, 343) = ( 856 x 343 ) / 293608

= 856 / 343

= 856

Step2:

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

= 1 / 678

= 1

Step3:

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

= 1 / 422

= 1

So, Greatest Common Divisor of 856, 343, 678, 422 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 468, 127, 156, 270
• GCD of 501, 938, 654, 508
• GCD of 776, 175, 923, 865
• GCD of 630, 379, 201, 760
• GCD of 130, 303, 435, 890

Given numbers are 856, 343, 678, 422
The greatest common divisor of numbers 856, 343, 678, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 856, 343, 678, 422 is 1.

1. What is the GCD of 856, 343, 678, 422?

GCD of given numbers 856, 343, 678, 422 is 1

2. How to calculate the greatest common divisor of 856, 343, 678, 422?

We can find the highest common divisor of 856, 343, 678, 422 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 856, 343, 678, 422 i.e 1.

3. How can I use the GCD of 856, 343, 678, 422Calculator?

Out the numbers 856, 343, 678, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.