GCD of 686, 144, 100 Calculator

Given Input numbers are 686, 144, 100

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

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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 (686, 144, 100) = 2.

Given numbers are 686, 144, 100

The list of prime factors of all numbers are

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

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

The highest common occurrence is 2¹

Therefore, GCD of 686, 144, 100 is 2.

Given numbers are 686, 144, 100

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

Apply this formula for all numbers.

Step1:

LCM(686, 144) = 49392

GCD(686, 144) = ( 686 x 144 ) / 49392

= 686 / 144

= 686

Step2:

LCM(2, 100) = 100

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

= 2 / 100

= 2

So, Greatest Common Divisor of 686, 144, 100 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 309, 655, 167
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• GCD of 313, 920, 427
• GCD of 364, 425, 338
• GCD of 246, 702, 658

Given numbers are 686, 144, 100
The greatest common divisor of numbers 686, 144, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 144, 100 is 2.

1. What is the GCD of 686, 144, 100?

GCD of given numbers 686, 144, 100 is 2

2. How to calculate the greatest common divisor of 686, 144, 100?

We can find the highest common divisor of 686, 144, 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 686, 144, 100 i.e 2.

3. How can I use the GCD of 686, 144, 100Calculator?

Out the numbers 686, 144, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.