GCD of 420, 144, 383, 686 Calculator

Given Input numbers are 420, 144, 383, 686

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

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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 383 :

The positive integer divisors of 383 that completely divides 383 are.

1, 383

Divisors of 686 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (420, 144, 383, 686) = 1.

Given numbers are 420, 144, 383, 686

The list of prime factors of all numbers are

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Prime factors of 383 are 383

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

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

Given numbers are 420, 144, 383, 686

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

Apply this formula for all numbers.

Step1:

LCM(420, 144) = 5040

GCD(420, 144) = ( 420 x 144 ) / 5040

= 420 / 144

= 420

Step2:

LCM(12, 383) = 4596

GCD(12, 383) = ( 12 x 383 ) / 4596

= 12 / 383

= 12

Step3:

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

= 1 / 686

= 1

So, Greatest Common Divisor of 420, 144, 383, 686 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 268, 288, 115, 215
• GCD of 910, 725, 429, 361
• GCD of 865, 664, 351, 437
• GCD of 874, 217, 974, 861
• GCD of 337, 187, 371, 841

Given numbers are 420, 144, 383, 686
The greatest common divisor of numbers 420, 144, 383, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 144, 383, 686 is 1.

1. What is the GCD of 420, 144, 383, 686?

GCD of given numbers 420, 144, 383, 686 is 1

2. How to calculate the greatest common divisor of 420, 144, 383, 686?

We can find the highest common divisor of 420, 144, 383, 686 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 420, 144, 383, 686 i.e 1.

3. How can I use the GCD of 420, 144, 383, 686Calculator?

Out the numbers 420, 144, 383, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.