GCD of 825, 704, 385, 357 Calculator

Given Input numbers are 825, 704, 385, 357

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 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

GCD of numbers is the greatest common divisor

So, the GCD (825, 704, 385, 357) = 1.

Given numbers are 825, 704, 385, 357

The list of prime factors of all numbers are

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

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 385 are 5 x 7 x 11

Prime factors of 357 are 3 x 7 x 17

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

Given numbers are 825, 704, 385, 357

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

Apply this formula for all numbers.

Step1:

LCM(825, 704) = 52800

GCD(825, 704) = ( 825 x 704 ) / 52800

= 825 / 704

= 825

Step2:

LCM(11, 385) = 385

GCD(11, 385) = ( 11 x 385 ) / 385

= 11 / 385

= 11

Step3:

LCM(11, 357) = 3927

GCD(11, 357) = ( 11 x 357 ) / 3927

= 11 / 357

= 11

So, Greatest Common Divisor of 825, 704, 385, 357 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 228, 388, 904, 909
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• GCD of 145, 433, 978, 351
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Given numbers are 825, 704, 385, 357
The greatest common divisor of numbers 825, 704, 385, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 704, 385, 357 is 1.

1. What is the GCD of 825, 704, 385, 357?

GCD of given numbers 825, 704, 385, 357 is 1

2. How to calculate the greatest common divisor of 825, 704, 385, 357?

We can find the highest common divisor of 825, 704, 385, 357 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, 704, 385, 357 i.e 1.

3. How can I use the GCD of 825, 704, 385, 357Calculator?

Out the numbers 825, 704, 385, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.