GCD of 716, 472, 414, 521 Calculator

Given Input numbers are 716, 472, 414, 521

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

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 521 :

The positive integer divisors of 521 that completely divides 521 are.

1, 521

GCD of numbers is the greatest common divisor

So, the GCD (716, 472, 414, 521) = 1.

Given numbers are 716, 472, 414, 521

The list of prime factors of all numbers are

Prime factors of 716 are 2 x 2 x 179

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 521 are 521

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

Given numbers are 716, 472, 414, 521

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

Apply this formula for all numbers.

Step1:

LCM(716, 472) = 84488

GCD(716, 472) = ( 716 x 472 ) / 84488

= 716 / 472

= 716

Step2:

LCM(4, 414) = 828

GCD(4, 414) = ( 4 x 414 ) / 828

= 4 / 414

= 4

Step3:

LCM(2, 521) = 1042

GCD(2, 521) = ( 2 x 521 ) / 1042

= 2 / 521

= 2

So, Greatest Common Divisor of 716, 472, 414, 521 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 374, 687, 515, 552
• GCD of 420, 284, 530, 863
• GCD of 409, 752, 128, 892
• GCD of 586, 438, 876, 541
• GCD of 586, 761, 625, 808

Given numbers are 716, 472, 414, 521
The greatest common divisor of numbers 716, 472, 414, 521 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 472, 414, 521 is 1.

1. What is the GCD of 716, 472, 414, 521?

GCD of given numbers 716, 472, 414, 521 is 1

2. How to calculate the greatest common divisor of 716, 472, 414, 521?

We can find the highest common divisor of 716, 472, 414, 521 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 716, 472, 414, 521 i.e 1.

3. How can I use the GCD of 716, 472, 414, 521Calculator?

Out the numbers 716, 472, 414, 521 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.