GCD of 123, 342, 725, 221 Calculator

Given Input numbers are 123, 342, 725, 221

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

Divisors of 123 :

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

1, 3, 41, 123

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

GCD of numbers is the greatest common divisor

So, the GCD (123, 342, 725, 221) = 1.

Given numbers are 123, 342, 725, 221

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 725 are 5 x 5 x 29

Prime factors of 221 are 13 x 17

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

Given numbers are 123, 342, 725, 221

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

Apply this formula for all numbers.

Step1:

LCM(123, 342) = 14022

GCD(123, 342) = ( 123 x 342 ) / 14022

= 123 / 342

= 123

Step2:

LCM(3, 725) = 2175

GCD(3, 725) = ( 3 x 725 ) / 2175

= 3 / 725

= 3

Step3:

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

= 1 / 221

= 1

So, Greatest Common Divisor of 123, 342, 725, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 732, 892, 684, 608
• GCD of 972, 223, 245, 882
• GCD of 950, 661, 444, 177
• GCD of 981, 771, 356, 399
• GCD of 249, 705, 870, 212

Given numbers are 123, 342, 725, 221
The greatest common divisor of numbers 123, 342, 725, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 342, 725, 221 is 1.

1. What is the GCD of 123, 342, 725, 221?

GCD of given numbers 123, 342, 725, 221 is 1

2. How to calculate the greatest common divisor of 123, 342, 725, 221?

We can find the highest common divisor of 123, 342, 725, 221 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 123, 342, 725, 221 i.e 1.

3. How can I use the GCD of 123, 342, 725, 221Calculator?

Out the numbers 123, 342, 725, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.