GCD of 825, 147, 243, 688 Calculator

Given Input numbers are 825, 147, 243, 688

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

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 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

GCD of numbers is the greatest common divisor

So, the GCD (825, 147, 243, 688) = 1.

Given numbers are 825, 147, 243, 688

The list of prime factors of all numbers are

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

Prime factors of 147 are 3 x 7 x 7

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

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

Given numbers are 825, 147, 243, 688

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

Apply this formula for all numbers.

Step1:

LCM(825, 147) = 40425

GCD(825, 147) = ( 825 x 147 ) / 40425

= 825 / 147

= 825

Step2:

LCM(3, 243) = 243

GCD(3, 243) = ( 3 x 243 ) / 243

= 3 / 243

= 3

Step3:

LCM(3, 688) = 2064

GCD(3, 688) = ( 3 x 688 ) / 2064

= 3 / 688

= 3

So, Greatest Common Divisor of 825, 147, 243, 688 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 917, 145, 423, 385
• GCD of 381, 370, 968, 625
• GCD of 996, 923, 554, 282
• GCD of 284, 848, 914, 360
• GCD of 813, 474, 864, 205

Given numbers are 825, 147, 243, 688
The greatest common divisor of numbers 825, 147, 243, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 147, 243, 688 is 1.

1. What is the GCD of 825, 147, 243, 688?

GCD of given numbers 825, 147, 243, 688 is 1

2. How to calculate the greatest common divisor of 825, 147, 243, 688?

We can find the highest common divisor of 825, 147, 243, 688 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 825, 147, 243, 688 i.e 1.

3. How can I use the GCD of 825, 147, 243, 688Calculator?

Out the numbers 825, 147, 243, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.