GCD of 712, 418, 966, 100 Calculator

Given Input numbers are 712, 418, 966, 100

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

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

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 (712, 418, 966, 100) = 2.

Given numbers are 712, 418, 966, 100

The list of prime factors of all numbers are

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 418 are 2 x 11 x 19

Prime factors of 966 are 2 x 3 x 7 x 23

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

The highest common occurrence is 2¹

Therefore, GCD of 712, 418, 966, 100 is 2.

Given numbers are 712, 418, 966, 100

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

Apply this formula for all numbers.

Step1:

LCM(712, 418) = 148808

GCD(712, 418) = ( 712 x 418 ) / 148808

= 712 / 418

= 712

Step2:

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

= 2 / 966

= 2

Step3:

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

= 2 / 100

= 2

So, Greatest Common Divisor of 712, 418, 966, 100 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 842, 429, 416, 125
• GCD of 339, 728, 501, 131
• GCD of 966, 694, 168, 948
• GCD of 403, 355, 755, 752
• GCD of 460, 717, 810, 756

Given numbers are 712, 418, 966, 100
The greatest common divisor of numbers 712, 418, 966, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 418, 966, 100 is 2.

1. What is the GCD of 712, 418, 966, 100?

GCD of given numbers 712, 418, 966, 100 is 2

2. How to calculate the greatest common divisor of 712, 418, 966, 100?

We can find the highest common divisor of 712, 418, 966, 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 712, 418, 966, 100 i.e 2.

3. How can I use the GCD of 712, 418, 966, 100Calculator?

Out the numbers 712, 418, 966, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.