GCD of 724, 697, 714, 462 Calculator

Given Input numbers are 724, 697, 714, 462

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

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

GCD of numbers is the greatest common divisor

So, the GCD (724, 697, 714, 462) = 1.

Given numbers are 724, 697, 714, 462

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 697 are 17 x 41

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 462 are 2 x 3 x 7 x 11

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

Given numbers are 724, 697, 714, 462

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

Apply this formula for all numbers.

Step1:

LCM(724, 697) = 504628

GCD(724, 697) = ( 724 x 697 ) / 504628

= 724 / 697

= 724

Step2:

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

= 1 / 714

= 1

Step3:

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

= 1 / 462

= 1

So, Greatest Common Divisor of 724, 697, 714, 462 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 822, 953, 487, 553
• GCD of 257, 730, 287, 216
• GCD of 879, 595, 491, 253
• GCD of 111, 764, 329, 234
• GCD of 787, 669, 398, 400

Given numbers are 724, 697, 714, 462
The greatest common divisor of numbers 724, 697, 714, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 697, 714, 462 is 1.

1. What is the GCD of 724, 697, 714, 462?

GCD of given numbers 724, 697, 714, 462 is 1

2. How to calculate the greatest common divisor of 724, 697, 714, 462?

We can find the highest common divisor of 724, 697, 714, 462 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 724, 697, 714, 462 i.e 1.

3. How can I use the GCD of 724, 697, 714, 462Calculator?

Out the numbers 724, 697, 714, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.