GCD of 100, 312, 71, 706 Calculator

Given Input numbers are 100, 312, 71, 706

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

Divisors of 100 :

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

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 71 :

The positive integer divisors of 71 that completely divides 71 are.

1, 71

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

GCD of numbers is the greatest common divisor

So, the GCD (100, 312, 71, 706) = 1.

Given numbers are 100, 312, 71, 706

The list of prime factors of all numbers are

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

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 71 are 71

Prime factors of 706 are 2 x 353

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

Given numbers are 100, 312, 71, 706

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

Apply this formula for all numbers.

Step1:

LCM(100, 312) = 7800

GCD(100, 312) = ( 100 x 312 ) / 7800

= 100 / 312

= 100

Step2:

LCM(4, 71) = 284

GCD(4, 71) = ( 4 x 71 ) / 284

= 4 / 71

= 4

Step3:

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

= 1 / 706

= 1

So, Greatest Common Divisor of 100, 312, 71, 706 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 553, 249, 22, 959
• GCD of 815, 341, 91, 265
• GCD of 252, 239, 17, 457
• GCD of 331, 344, 88, 320
• GCD of 663, 132, 92, 917

Given numbers are 100, 312, 71, 706
The greatest common divisor of numbers 100, 312, 71, 706 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 312, 71, 706 is 1.

1. What is the GCD of 100, 312, 71, 706?

GCD of given numbers 100, 312, 71, 706 is 1

2. How to calculate the greatest common divisor of 100, 312, 71, 706?

We can find the highest common divisor of 100, 312, 71, 706 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 100, 312, 71, 706 i.e 1.

3. How can I use the GCD of 100, 312, 71, 706Calculator?

Out the numbers 100, 312, 71, 706 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.