GCD of 805, 272, 120, 343 Calculator

Given Input numbers are 805, 272, 120, 343

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

Divisors of 805 :

The positive integer divisors of 805 that completely divides 805 are.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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 (805, 272, 120, 343) = 1.

Given numbers are 805, 272, 120, 343

The list of prime factors of all numbers are

Prime factors of 805 are 5 x 7 x 23

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

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 805, 272, 120, 343

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

Apply this formula for all numbers.

Step1:

LCM(805, 272) = 218960

GCD(805, 272) = ( 805 x 272 ) / 218960

= 805 / 272

= 805

Step2:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

Step3:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

So, Greatest Common Divisor of 805, 272, 120, 343 is 1

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Given numbers are 805, 272, 120, 343
The greatest common divisor of numbers 805, 272, 120, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 805, 272, 120, 343 is 1.

1. What is the GCD of 805, 272, 120, 343?

GCD of given numbers 805, 272, 120, 343 is 1

2. How to calculate the greatest common divisor of 805, 272, 120, 343?

We can find the highest common divisor of 805, 272, 120, 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 805, 272, 120, 343 i.e 1.

3. How can I use the GCD of 805, 272, 120, 343Calculator?

Out the numbers 805, 272, 120, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.