GCD of 714, 716, 580, 421 Calculator

Given Input numbers are 714, 716, 580, 421

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

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 716 :

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

1, 2, 4, 179, 358, 716

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

GCD of numbers is the greatest common divisor

So, the GCD (714, 716, 580, 421) = 1.

Given numbers are 714, 716, 580, 421

The list of prime factors of all numbers are

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

Prime factors of 716 are 2 x 2 x 179

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 421 are 421

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

Given numbers are 714, 716, 580, 421

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

Apply this formula for all numbers.

Step1:

LCM(714, 716) = 255612

GCD(714, 716) = ( 714 x 716 ) / 255612

= 714 / 716

= 714

Step2:

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

= 2 / 580

= 2

Step3:

LCM(2, 421) = 842

GCD(2, 421) = ( 2 x 421 ) / 842

= 2 / 421

= 2

So, Greatest Common Divisor of 714, 716, 580, 421 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 757, 961, 362
• GCD of 220, 749, 860, 210
• GCD of 899, 146, 293, 812
• GCD of 771, 701, 434, 308
• GCD of 797, 360, 942, 957

Given numbers are 714, 716, 580, 421
The greatest common divisor of numbers 714, 716, 580, 421 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 716, 580, 421 is 1.

1. What is the GCD of 714, 716, 580, 421?

GCD of given numbers 714, 716, 580, 421 is 1

2. How to calculate the greatest common divisor of 714, 716, 580, 421?

We can find the highest common divisor of 714, 716, 580, 421 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 714, 716, 580, 421 i.e 1.

3. How can I use the GCD of 714, 716, 580, 421Calculator?

Out the numbers 714, 716, 580, 421 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.