GCD of 172, 682, 382, 548 Calculator

Given Input numbers are 172, 682, 382, 548

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

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

GCD of numbers is the greatest common divisor

So, the GCD (172, 682, 382, 548) = 2.

Given numbers are 172, 682, 382, 548

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 682 are 2 x 11 x 31

Prime factors of 382 are 2 x 191

Prime factors of 548 are 2 x 2 x 137

The highest common occurrence is 2¹

Therefore, GCD of 172, 682, 382, 548 is 2.

Given numbers are 172, 682, 382, 548

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

Apply this formula for all numbers.

Step1:

LCM(172, 682) = 58652

GCD(172, 682) = ( 172 x 682 ) / 58652

= 172 / 682

= 172

Step2:

LCM(2, 382) = 382

GCD(2, 382) = ( 2 x 382 ) / 382

= 2 / 382

= 2

Step3:

LCM(2, 548) = 548

GCD(2, 548) = ( 2 x 548 ) / 548

= 2 / 548

= 2

So, Greatest Common Divisor of 172, 682, 382, 548 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 700, 341, 653, 234
• GCD of 730, 345, 372, 876
• GCD of 239, 694, 105, 288
• GCD of 686, 811, 301, 310
• GCD of 424, 268, 737, 780

Given numbers are 172, 682, 382, 548
The greatest common divisor of numbers 172, 682, 382, 548 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 682, 382, 548 is 2.

1. What is the GCD of 172, 682, 382, 548?

GCD of given numbers 172, 682, 382, 548 is 2

2. How to calculate the greatest common divisor of 172, 682, 382, 548?

We can find the highest common divisor of 172, 682, 382, 548 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 172, 682, 382, 548 i.e 2.

3. How can I use the GCD of 172, 682, 382, 548Calculator?

Out the numbers 172, 682, 382, 548 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.