GCD of 309, 505, 871, 434 Calculator

Given Input numbers are 309, 505, 871, 434

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 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 871 :

The positive integer divisors of 871 that completely divides 871 are.

1, 13, 67, 871

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

GCD of numbers is the greatest common divisor

So, the GCD (309, 505, 871, 434) = 1.

Given numbers are 309, 505, 871, 434

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 505 are 5 x 101

Prime factors of 871 are 13 x 67

Prime factors of 434 are 2 x 7 x 31

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

Given numbers are 309, 505, 871, 434

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

Apply this formula for all numbers.

Step1:

LCM(309, 505) = 156045

GCD(309, 505) = ( 309 x 505 ) / 156045

= 309 / 505

= 309

Step2:

LCM(1, 871) = 871

GCD(1, 871) = ( 1 x 871 ) / 871

= 1 / 871

= 1

Step3:

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

= 1 / 434

= 1

So, Greatest Common Divisor of 309, 505, 871, 434 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 553, 701, 564, 732
• GCD of 939, 331, 397, 409
• GCD of 858, 330, 557, 869
• GCD of 596, 807, 328, 460
• GCD of 599, 909, 768, 497

Given numbers are 309, 505, 871, 434
The greatest common divisor of numbers 309, 505, 871, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 505, 871, 434 is 1.

1. What is the GCD of 309, 505, 871, 434?

GCD of given numbers 309, 505, 871, 434 is 1

2. How to calculate the greatest common divisor of 309, 505, 871, 434?

We can find the highest common divisor of 309, 505, 871, 434 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, 505, 871, 434 i.e 1.

3. How can I use the GCD of 309, 505, 871, 434Calculator?

Out the numbers 309, 505, 871, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.