GCD of 706, 354, 825, 269 Calculator

Given Input numbers are 706, 354, 825, 269

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

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

GCD of numbers is the greatest common divisor

So, the GCD (706, 354, 825, 269) = 1.

Given numbers are 706, 354, 825, 269

The list of prime factors of all numbers are

Prime factors of 706 are 2 x 353

Prime factors of 354 are 2 x 3 x 59

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 269 are 269

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

Given numbers are 706, 354, 825, 269

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

Apply this formula for all numbers.

Step1:

LCM(706, 354) = 124962

GCD(706, 354) = ( 706 x 354 ) / 124962

= 706 / 354

= 706

Step2:

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

= 2 / 825

= 2

Step3:

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

= 1 / 269

= 1

So, Greatest Common Divisor of 706, 354, 825, 269 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 370, 958, 995, 345
• GCD of 970, 878, 437, 517
• GCD of 125, 721, 589, 390
• GCD of 802, 483, 452, 634
• GCD of 668, 569, 531, 150

Given numbers are 706, 354, 825, 269
The greatest common divisor of numbers 706, 354, 825, 269 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 706, 354, 825, 269 is 1.

1. What is the GCD of 706, 354, 825, 269?

GCD of given numbers 706, 354, 825, 269 is 1

2. How to calculate the greatest common divisor of 706, 354, 825, 269?

We can find the highest common divisor of 706, 354, 825, 269 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 706, 354, 825, 269 i.e 1.

3. How can I use the GCD of 706, 354, 825, 269Calculator?

Out the numbers 706, 354, 825, 269 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.