GCD of 984, 643, 343, 144 Calculator

Given Input numbers are 984, 643, 343, 144

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

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 643 :

The positive integer divisors of 643 that completely divides 643 are.

1, 643

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

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

GCD of numbers is the greatest common divisor

So, the GCD (984, 643, 343, 144) = 1.

Given numbers are 984, 643, 343, 144

The list of prime factors of all numbers are

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 643 are 643

Prime factors of 343 are 7 x 7 x 7

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

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

Given numbers are 984, 643, 343, 144

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

Apply this formula for all numbers.

Step1:

LCM(984, 643) = 632712

GCD(984, 643) = ( 984 x 643 ) / 632712

= 984 / 643

= 984

Step2:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

Step3:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1

So, Greatest Common Divisor of 984, 643, 343, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 512, 425, 883, 998
• GCD of 718, 434, 399, 993
• GCD of 254, 161, 218, 759
• GCD of 385, 120, 572, 888
• GCD of 965, 403, 610, 709

Given numbers are 984, 643, 343, 144
The greatest common divisor of numbers 984, 643, 343, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 643, 343, 144 is 1.

1. What is the GCD of 984, 643, 343, 144?

GCD of given numbers 984, 643, 343, 144 is 1

2. How to calculate the greatest common divisor of 984, 643, 343, 144?

We can find the highest common divisor of 984, 643, 343, 144 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 984, 643, 343, 144 i.e 1.

3. How can I use the GCD of 984, 643, 343, 144Calculator?

Out the numbers 984, 643, 343, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.