GCD of 847, 364, 354, 353 Calculator

Given Input numbers are 847, 364, 354, 353

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

Divisors of 847 :

The positive integer divisors of 847 that completely divides 847 are.

1, 7, 11, 77, 121, 847

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 354 :

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

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

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

GCD of numbers is the greatest common divisor

So, the GCD (847, 364, 354, 353) = 1.

Given numbers are 847, 364, 354, 353

The list of prime factors of all numbers are

Prime factors of 847 are 7 x 11 x 11

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 354 are 2 x 3 x 59

Prime factors of 353 are 353

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

Given numbers are 847, 364, 354, 353

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

Apply this formula for all numbers.

Step1:

LCM(847, 364) = 44044

GCD(847, 364) = ( 847 x 364 ) / 44044

= 847 / 364

= 847

Step2:

LCM(7, 354) = 2478

GCD(7, 354) = ( 7 x 354 ) / 2478

= 7 / 354

= 7

Step3:

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

= 1 / 353

= 1

So, Greatest Common Divisor of 847, 364, 354, 353 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 725, 612, 105, 636
• GCD of 277, 619, 662, 137
• GCD of 478, 731, 484, 357
• GCD of 494, 584, 151, 223
• GCD of 660, 764, 456, 224

Given numbers are 847, 364, 354, 353
The greatest common divisor of numbers 847, 364, 354, 353 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 847, 364, 354, 353 is 1.

1. What is the GCD of 847, 364, 354, 353?

GCD of given numbers 847, 364, 354, 353 is 1

2. How to calculate the greatest common divisor of 847, 364, 354, 353?

We can find the highest common divisor of 847, 364, 354, 353 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 847, 364, 354, 353 i.e 1.

3. How can I use the GCD of 847, 364, 354, 353Calculator?

Out the numbers 847, 364, 354, 353 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.