GCD of 705, 681, 724, 213 Calculator

Given Input numbers are 705, 681, 724, 213

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 681 :

The positive integer divisors of 681 that completely divides 681 are.

1, 3, 227, 681

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

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 (705, 681, 724, 213) = 1.

Given numbers are 705, 681, 724, 213

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 681 are 3 x 227

Prime factors of 724 are 2 x 2 x 181

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 705, 681, 724, 213

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

Apply this formula for all numbers.

Step1:

LCM(705, 681) = 160035

GCD(705, 681) = ( 705 x 681 ) / 160035

= 705 / 681

= 705

Step2:

LCM(3, 724) = 2172

GCD(3, 724) = ( 3 x 724 ) / 2172

= 3 / 724

= 3

Step3:

LCM(1, 213) = 213

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

= 1 / 213

= 1

So, Greatest Common Divisor of 705, 681, 724, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 893, 264, 476, 848
• GCD of 554, 829, 814, 547
• GCD of 680, 410, 281, 617
• GCD of 482, 327, 292, 880
• GCD of 362, 790, 945, 285

Given numbers are 705, 681, 724, 213
The greatest common divisor of numbers 705, 681, 724, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 681, 724, 213 is 1.

1. What is the GCD of 705, 681, 724, 213?

GCD of given numbers 705, 681, 724, 213 is 1

2. How to calculate the greatest common divisor of 705, 681, 724, 213?

We can find the highest common divisor of 705, 681, 724, 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 705, 681, 724, 213 i.e 1.

3. How can I use the GCD of 705, 681, 724, 213Calculator?

Out the numbers 705, 681, 724, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.