GCD of 716, 310, 721, 100 Calculator

Given Input numbers are 716, 310, 721, 100

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 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

GCD of numbers is the greatest common divisor

So, the GCD (716, 310, 721, 100) = 1.

Given numbers are 716, 310, 721, 100

The list of prime factors of all numbers are

Prime factors of 716 are 2 x 2 x 179

Prime factors of 310 are 2 x 5 x 31

Prime factors of 721 are 7 x 103

Prime factors of 100 are 2 x 2 x 5 x 5

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

Given numbers are 716, 310, 721, 100

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

Apply this formula for all numbers.

Step1:

LCM(716, 310) = 110980

GCD(716, 310) = ( 716 x 310 ) / 110980

= 716 / 310

= 716

Step2:

LCM(2, 721) = 1442

GCD(2, 721) = ( 2 x 721 ) / 1442

= 2 / 721

= 2

Step3:

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

= 1 / 100

= 1

So, Greatest Common Divisor of 716, 310, 721, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 847, 559, 643
• GCD of 338, 626, 662, 626
• GCD of 973, 569, 949, 434
• GCD of 275, 268, 864, 571
• GCD of 766, 696, 532, 905

Given numbers are 716, 310, 721, 100
The greatest common divisor of numbers 716, 310, 721, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 310, 721, 100 is 1.

1. What is the GCD of 716, 310, 721, 100?

GCD of given numbers 716, 310, 721, 100 is 1

2. How to calculate the greatest common divisor of 716, 310, 721, 100?

We can find the highest common divisor of 716, 310, 721, 100 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, 310, 721, 100 i.e 1.

3. How can I use the GCD of 716, 310, 721, 100Calculator?

Out the numbers 716, 310, 721, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.