GCD of 342, 838, 693, 105 Calculator

Given Input numbers are 342, 838, 693, 105

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

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 (342, 838, 693, 105) = 1.

Given numbers are 342, 838, 693, 105

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 838 are 2 x 419

Prime factors of 693 are 3 x 3 x 7 x 11

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 342, 838, 693, 105

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

Apply this formula for all numbers.

Step1:

LCM(342, 838) = 143298

GCD(342, 838) = ( 342 x 838 ) / 143298

= 342 / 838

= 342

Step2:

LCM(2, 693) = 1386

GCD(2, 693) = ( 2 x 693 ) / 1386

= 2 / 693

= 2

Step3:

LCM(1, 105) = 105

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

= 1 / 105

= 1

So, Greatest Common Divisor of 342, 838, 693, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 892, 204, 861, 805
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Given numbers are 342, 838, 693, 105
The greatest common divisor of numbers 342, 838, 693, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 838, 693, 105 is 1.

1. What is the GCD of 342, 838, 693, 105?

GCD of given numbers 342, 838, 693, 105 is 1

2. How to calculate the greatest common divisor of 342, 838, 693, 105?

We can find the highest common divisor of 342, 838, 693, 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 342, 838, 693, 105 i.e 1.

3. How can I use the GCD of 342, 838, 693, 105Calculator?

Out the numbers 342, 838, 693, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.