GCD of 571, 648, 714, 343 Calculator

Given Input numbers are 571, 648, 714, 343

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

Divisors of 571 :

The positive integer divisors of 571 that completely divides 571 are.

1, 571

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

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 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

GCD of numbers is the greatest common divisor

So, the GCD (571, 648, 714, 343) = 1.

Given numbers are 571, 648, 714, 343

The list of prime factors of all numbers are

Prime factors of 571 are 571

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

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

Prime factors of 343 are 7 x 7 x 7

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

Given numbers are 571, 648, 714, 343

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

Apply this formula for all numbers.

Step1:

LCM(571, 648) = 370008

GCD(571, 648) = ( 571 x 648 ) / 370008

= 571 / 648

= 571

Step2:

LCM(1, 714) = 714

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

= 1 / 714

= 1

Step3:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

So, Greatest Common Divisor of 571, 648, 714, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 727, 337, 362, 983
• GCD of 135, 579, 601, 120
• GCD of 600, 457, 381, 134
• GCD of 581, 447, 890, 306
• GCD of 776, 275, 722, 531

Given numbers are 571, 648, 714, 343
The greatest common divisor of numbers 571, 648, 714, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 571, 648, 714, 343 is 1.

1. What is the GCD of 571, 648, 714, 343?

GCD of given numbers 571, 648, 714, 343 is 1

2. How to calculate the greatest common divisor of 571, 648, 714, 343?

We can find the highest common divisor of 571, 648, 714, 343 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 571, 648, 714, 343 i.e 1.

3. How can I use the GCD of 571, 648, 714, 343Calculator?

Out the numbers 571, 648, 714, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.