GCD of 172, 546, 784, 425 Calculator

Given Input numbers are 172, 546, 784, 425

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 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 425 :

The positive integer divisors of 425 that completely divides 425 are.

1, 5, 17, 25, 85, 425

GCD of numbers is the greatest common divisor

So, the GCD (172, 546, 784, 425) = 1.

Given numbers are 172, 546, 784, 425

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 546 are 2 x 3 x 7 x 13

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 425 are 5 x 5 x 17

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

Given numbers are 172, 546, 784, 425

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

Apply this formula for all numbers.

Step1:

LCM(172, 546) = 46956

GCD(172, 546) = ( 172 x 546 ) / 46956

= 172 / 546

= 172

Step2:

LCM(2, 784) = 784

GCD(2, 784) = ( 2 x 784 ) / 784

= 2 / 784

= 2

Step3:

LCM(2, 425) = 850

GCD(2, 425) = ( 2 x 425 ) / 850

= 2 / 425

= 2

So, Greatest Common Divisor of 172, 546, 784, 425 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 294, 458, 295, 433
• GCD of 922, 871, 104, 379
• GCD of 345, 705, 373, 949
• GCD of 152, 486, 977, 419
• GCD of 598, 420, 438, 163

Given numbers are 172, 546, 784, 425
The greatest common divisor of numbers 172, 546, 784, 425 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 546, 784, 425 is 1.

1. What is the GCD of 172, 546, 784, 425?

GCD of given numbers 172, 546, 784, 425 is 1

2. How to calculate the greatest common divisor of 172, 546, 784, 425?

We can find the highest common divisor of 172, 546, 784, 425 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, 546, 784, 425 i.e 1.

3. How can I use the GCD of 172, 546, 784, 425Calculator?

Out the numbers 172, 546, 784, 425 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.