GCD of 969, 534, 313, 500 Calculator

Given Input numbers are 969, 534, 313, 500

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

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 534 :

The positive integer divisors of 534 that completely divides 534 are.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

GCD of numbers is the greatest common divisor

So, the GCD (969, 534, 313, 500) = 1.

Given numbers are 969, 534, 313, 500

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 534 are 2 x 3 x 89

Prime factors of 313 are 313

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

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

Given numbers are 969, 534, 313, 500

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

Apply this formula for all numbers.

Step1:

LCM(969, 534) = 172482

GCD(969, 534) = ( 969 x 534 ) / 172482

= 969 / 534

= 969

Step2:

LCM(3, 313) = 939

GCD(3, 313) = ( 3 x 313 ) / 939

= 3 / 313

= 3

Step3:

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

= 1 / 500

= 1

So, Greatest Common Divisor of 969, 534, 313, 500 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 306, 571, 290, 449
• GCD of 311, 234, 383, 909
• GCD of 374, 237, 596, 709
• GCD of 267, 713, 274, 871
• GCD of 935, 840, 503, 313

Given numbers are 969, 534, 313, 500
The greatest common divisor of numbers 969, 534, 313, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 534, 313, 500 is 1.

1. What is the GCD of 969, 534, 313, 500?

GCD of given numbers 969, 534, 313, 500 is 1

2. How to calculate the greatest common divisor of 969, 534, 313, 500?

We can find the highest common divisor of 969, 534, 313, 500 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 969, 534, 313, 500 i.e 1.

3. How can I use the GCD of 969, 534, 313, 500Calculator?

Out the numbers 969, 534, 313, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.