GCD of 309, 274, 608, 800 Calculator

Given Input numbers are 309, 274, 608, 800

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

GCD of numbers is the greatest common divisor

So, the GCD (309, 274, 608, 800) = 1.

Given numbers are 309, 274, 608, 800

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 274 are 2 x 137

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

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

Given numbers are 309, 274, 608, 800

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

Apply this formula for all numbers.

Step1:

LCM(309, 274) = 84666

GCD(309, 274) = ( 309 x 274 ) / 84666

= 309 / 274

= 309

Step2:

LCM(1, 608) = 608

GCD(1, 608) = ( 1 x 608 ) / 608

= 1 / 608

= 1

Step3:

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

= 1 / 800

= 1

So, Greatest Common Divisor of 309, 274, 608, 800 is 1

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Given numbers are 309, 274, 608, 800
The greatest common divisor of numbers 309, 274, 608, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 274, 608, 800 is 1.

1. What is the GCD of 309, 274, 608, 800?

GCD of given numbers 309, 274, 608, 800 is 1

2. How to calculate the greatest common divisor of 309, 274, 608, 800?

We can find the highest common divisor of 309, 274, 608, 800 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 309, 274, 608, 800 i.e 1.

3. How can I use the GCD of 309, 274, 608, 800Calculator?

Out the numbers 309, 274, 608, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.