GCD of 891, 343, 705, 308 Calculator

Given Input numbers are 891, 343, 705, 308

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

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 705 :

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

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

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

GCD of numbers is the greatest common divisor

So, the GCD (891, 343, 705, 308) = 1.

Given numbers are 891, 343, 705, 308

The list of prime factors of all numbers are

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

Prime factors of 343 are 7 x 7 x 7

Prime factors of 705 are 3 x 5 x 47

Prime factors of 308 are 2 x 2 x 7 x 11

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

Given numbers are 891, 343, 705, 308

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

Apply this formula for all numbers.

Step1:

LCM(891, 343) = 305613

GCD(891, 343) = ( 891 x 343 ) / 305613

= 891 / 343

= 891

Step2:

LCM(1, 705) = 705

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

= 1 / 705

= 1

Step3:

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

= 1 / 308

= 1

So, Greatest Common Divisor of 891, 343, 705, 308 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 555, 902, 193, 997
• GCD of 259, 488, 831, 238
• GCD of 760, 778, 574, 681
• GCD of 898, 756, 370, 276
• GCD of 758, 451, 791, 463

Given numbers are 891, 343, 705, 308
The greatest common divisor of numbers 891, 343, 705, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 343, 705, 308 is 1.

1. What is the GCD of 891, 343, 705, 308?

GCD of given numbers 891, 343, 705, 308 is 1

2. How to calculate the greatest common divisor of 891, 343, 705, 308?

We can find the highest common divisor of 891, 343, 705, 308 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 891, 343, 705, 308 i.e 1.

3. How can I use the GCD of 891, 343, 705, 308Calculator?

Out the numbers 891, 343, 705, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.