GCD of 870, 312, 106, 343 Calculator

Given Input numbers are 870, 312, 106, 343

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

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

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 (870, 312, 106, 343) = 1.

Given numbers are 870, 312, 106, 343

The list of prime factors of all numbers are

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 106 are 2 x 53

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 870, 312, 106, 343

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

Apply this formula for all numbers.

Step1:

LCM(870, 312) = 45240

GCD(870, 312) = ( 870 x 312 ) / 45240

= 870 / 312

= 870

Step2:

LCM(6, 106) = 318

GCD(6, 106) = ( 6 x 106 ) / 318

= 6 / 106

= 6

Step3:

LCM(2, 343) = 686

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

= 2 / 343

= 2

So, Greatest Common Divisor of 870, 312, 106, 343 is 1

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• GCD of 311, 804, 353, 242
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Given numbers are 870, 312, 106, 343
The greatest common divisor of numbers 870, 312, 106, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 312, 106, 343 is 1.

1. What is the GCD of 870, 312, 106, 343?

GCD of given numbers 870, 312, 106, 343 is 1

2. How to calculate the greatest common divisor of 870, 312, 106, 343?

We can find the highest common divisor of 870, 312, 106, 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 870, 312, 106, 343 i.e 1.

3. How can I use the GCD of 870, 312, 106, 343Calculator?

Out the numbers 870, 312, 106, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.