GCD of 676, 509, 966, 213 Calculator

Given Input numbers are 676, 509, 966, 213

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

GCD of numbers is the greatest common divisor

So, the GCD (676, 509, 966, 213) = 1.

Given numbers are 676, 509, 966, 213

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 509 are 509

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 213 are 3 x 71

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

Given numbers are 676, 509, 966, 213

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

Apply this formula for all numbers.

Step1:

LCM(676, 509) = 344084

GCD(676, 509) = ( 676 x 509 ) / 344084

= 676 / 509

= 676

Step2:

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

= 1 / 966

= 1

Step3:

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

= 1 / 213

= 1

So, Greatest Common Divisor of 676, 509, 966, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 658, 734, 732
• GCD of 496, 353, 677, 190
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Given numbers are 676, 509, 966, 213
The greatest common divisor of numbers 676, 509, 966, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 509, 966, 213 is 1.

1. What is the GCD of 676, 509, 966, 213?

GCD of given numbers 676, 509, 966, 213 is 1

2. How to calculate the greatest common divisor of 676, 509, 966, 213?

We can find the highest common divisor of 676, 509, 966, 213 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 676, 509, 966, 213 i.e 1.

3. How can I use the GCD of 676, 509, 966, 213Calculator?

Out the numbers 676, 509, 966, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.