GCD of 984, 686, 653, 172 Calculator

Given Input numbers are 984, 686, 653, 172

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 686 :

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

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

Divisors of 653 :

The positive integer divisors of 653 that completely divides 653 are.

1, 653

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (984, 686, 653, 172) = 1.

Given numbers are 984, 686, 653, 172

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 686 are 2 x 7 x 7 x 7

Prime factors of 653 are 653

Prime factors of 172 are 2 x 2 x 43

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

Given numbers are 984, 686, 653, 172

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

Apply this formula for all numbers.

Step1:

LCM(984, 686) = 337512

GCD(984, 686) = ( 984 x 686 ) / 337512

= 984 / 686

= 984

Step2:

LCM(2, 653) = 1306

GCD(2, 653) = ( 2 x 653 ) / 1306

= 2 / 653

= 2

Step3:

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

= 1 / 172

= 1

So, Greatest Common Divisor of 984, 686, 653, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 806, 435, 598, 774
• GCD of 892, 469, 638, 147
• GCD of 285, 583, 321, 502
• GCD of 886, 825, 500, 703
• GCD of 556, 799, 905, 776

Given numbers are 984, 686, 653, 172
The greatest common divisor of numbers 984, 686, 653, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 686, 653, 172 is 1.

1. What is the GCD of 984, 686, 653, 172?

GCD of given numbers 984, 686, 653, 172 is 1

2. How to calculate the greatest common divisor of 984, 686, 653, 172?

We can find the highest common divisor of 984, 686, 653, 172 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, 686, 653, 172 i.e 1.

3. How can I use the GCD of 984, 686, 653, 172Calculator?

Out the numbers 984, 686, 653, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.