GCD of 848, 231, 723, 105 Calculator

Given Input numbers are 848, 231, 723, 105

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

Divisors of 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

GCD of numbers is the greatest common divisor

So, the GCD (848, 231, 723, 105) = 1.

Given numbers are 848, 231, 723, 105

The list of prime factors of all numbers are

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

Prime factors of 231 are 3 x 7 x 11

Prime factors of 723 are 3 x 241

Prime factors of 105 are 3 x 5 x 7

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

Given numbers are 848, 231, 723, 105

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

Apply this formula for all numbers.

Step1:

LCM(848, 231) = 195888

GCD(848, 231) = ( 848 x 231 ) / 195888

= 848 / 231

= 848

Step2:

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

= 1 / 723

= 1

Step3:

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

= 1 / 105

= 1

So, Greatest Common Divisor of 848, 231, 723, 105 is 1

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Given numbers are 848, 231, 723, 105
The greatest common divisor of numbers 848, 231, 723, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 848, 231, 723, 105 is 1.

1. What is the GCD of 848, 231, 723, 105?

GCD of given numbers 848, 231, 723, 105 is 1

2. How to calculate the greatest common divisor of 848, 231, 723, 105?

We can find the highest common divisor of 848, 231, 723, 105 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 848, 231, 723, 105 i.e 1.

3. How can I use the GCD of 848, 231, 723, 105Calculator?

Out the numbers 848, 231, 723, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.