GCD of 301, 343, 145, 312 Calculator

Given Input numbers are 301, 343, 145, 312

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

Divisors of 301 :

The positive integer divisors of 301 that completely divides 301 are.

1, 7, 43, 301

Divisors of 343 :

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

1, 7, 49, 343

Divisors of 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

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

GCD of numbers is the greatest common divisor

So, the GCD (301, 343, 145, 312) = 1.

Given numbers are 301, 343, 145, 312

The list of prime factors of all numbers are

Prime factors of 301 are 7 x 43

Prime factors of 343 are 7 x 7 x 7

Prime factors of 145 are 5 x 29

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

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

Given numbers are 301, 343, 145, 312

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

Apply this formula for all numbers.

Step1:

LCM(301, 343) = 14749

GCD(301, 343) = ( 301 x 343 ) / 14749

= 301 / 343

= 301

Step2:

LCM(7, 145) = 1015

GCD(7, 145) = ( 7 x 145 ) / 1015

= 7 / 145

= 7

Step3:

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

= 1 / 312

= 1

So, Greatest Common Divisor of 301, 343, 145, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 866, 146, 134, 287
• GCD of 729, 544, 682, 296
• GCD of 708, 393, 811, 632
• GCD of 940, 475, 920, 870
• GCD of 708, 300, 743, 248

Given numbers are 301, 343, 145, 312
The greatest common divisor of numbers 301, 343, 145, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 301, 343, 145, 312 is 1.

1. What is the GCD of 301, 343, 145, 312?

GCD of given numbers 301, 343, 145, 312 is 1

2. How to calculate the greatest common divisor of 301, 343, 145, 312?

We can find the highest common divisor of 301, 343, 145, 312 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 301, 343, 145, 312 i.e 1.

3. How can I use the GCD of 301, 343, 145, 312Calculator?

Out the numbers 301, 343, 145, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.