GCD of 725, 676, 206, 422 Calculator

Given Input numbers are 725, 676, 206, 422

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

Divisors of 725 :

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

1, 5, 25, 29, 145, 725

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

GCD of numbers is the greatest common divisor

So, the GCD (725, 676, 206, 422) = 1.

Given numbers are 725, 676, 206, 422

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 206 are 2 x 103

Prime factors of 422 are 2 x 211

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

Given numbers are 725, 676, 206, 422

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

Apply this formula for all numbers.

Step1:

LCM(725, 676) = 490100

GCD(725, 676) = ( 725 x 676 ) / 490100

= 725 / 676

= 725

Step2:

LCM(1, 206) = 206

GCD(1, 206) = ( 1 x 206 ) / 206

= 1 / 206

= 1

Step3:

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

= 1 / 422

= 1

So, Greatest Common Divisor of 725, 676, 206, 422 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 266, 825, 791, 309
• GCD of 806, 435, 510, 244
• GCD of 100, 224, 902, 286
• GCD of 275, 734, 521, 322
• GCD of 814, 689, 587, 509

Given numbers are 725, 676, 206, 422
The greatest common divisor of numbers 725, 676, 206, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 676, 206, 422 is 1.

1. What is the GCD of 725, 676, 206, 422?

GCD of given numbers 725, 676, 206, 422 is 1

2. How to calculate the greatest common divisor of 725, 676, 206, 422?

We can find the highest common divisor of 725, 676, 206, 422 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 725, 676, 206, 422 i.e 1.

3. How can I use the GCD of 725, 676, 206, 422Calculator?

Out the numbers 725, 676, 206, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.