GCD of 175, 123, 242, 546 Calculator

Given Input numbers are 175, 123, 242, 546

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

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

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

GCD of numbers is the greatest common divisor

So, the GCD (175, 123, 242, 546) = 1.

Given numbers are 175, 123, 242, 546

The list of prime factors of all numbers are

Prime factors of 175 are 5 x 5 x 7

Prime factors of 123 are 3 x 41

Prime factors of 242 are 2 x 11 x 11

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

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

Given numbers are 175, 123, 242, 546

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

Apply this formula for all numbers.

Step1:

LCM(175, 123) = 21525

GCD(175, 123) = ( 175 x 123 ) / 21525

= 175 / 123

= 175

Step2:

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

= 1 / 242

= 1

Step3:

LCM(1, 546) = 546

GCD(1, 546) = ( 1 x 546 ) / 546

= 1 / 546

= 1

So, Greatest Common Divisor of 175, 123, 242, 546 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 820, 233, 904, 890
• GCD of 338, 311, 283, 109
• GCD of 191, 568, 789, 422
• GCD of 864, 858, 412, 625
• GCD of 631, 643, 810, 691

Given numbers are 175, 123, 242, 546
The greatest common divisor of numbers 175, 123, 242, 546 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 175, 123, 242, 546 is 1.

1. What is the GCD of 175, 123, 242, 546?

GCD of given numbers 175, 123, 242, 546 is 1

2. How to calculate the greatest common divisor of 175, 123, 242, 546?

We can find the highest common divisor of 175, 123, 242, 546 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 175, 123, 242, 546 i.e 1.

3. How can I use the GCD of 175, 123, 242, 546Calculator?

Out the numbers 175, 123, 242, 546 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.