GCD of 828, 274, 225, 705 Calculator

Given Input numbers are 828, 274, 225, 705

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

GCD of numbers is the greatest common divisor

So, the GCD (828, 274, 225, 705) = 1.

Given numbers are 828, 274, 225, 705

The list of prime factors of all numbers are

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 274 are 2 x 137

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 705 are 3 x 5 x 47

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

Given numbers are 828, 274, 225, 705

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

Apply this formula for all numbers.

Step1:

LCM(828, 274) = 113436

GCD(828, 274) = ( 828 x 274 ) / 113436

= 828 / 274

= 828

Step2:

LCM(2, 225) = 450

GCD(2, 225) = ( 2 x 225 ) / 450

= 2 / 225

= 2

Step3:

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

= 1 / 705

= 1

So, Greatest Common Divisor of 828, 274, 225, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 404, 619, 952, 152
• GCD of 495, 379, 700, 213
• GCD of 397, 167, 701, 198
• GCD of 575, 773, 958, 238
• GCD of 364, 771, 391, 464

Given numbers are 828, 274, 225, 705
The greatest common divisor of numbers 828, 274, 225, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 274, 225, 705 is 1.

1. What is the GCD of 828, 274, 225, 705?

GCD of given numbers 828, 274, 225, 705 is 1

2. How to calculate the greatest common divisor of 828, 274, 225, 705?

We can find the highest common divisor of 828, 274, 225, 705 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 828, 274, 225, 705 i.e 1.

3. How can I use the GCD of 828, 274, 225, 705Calculator?

Out the numbers 828, 274, 225, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.