GCD of 105, 702, 68, 843 Calculator

Given Input numbers are 105, 702, 68, 843

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

Divisors of 105 :

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

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

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 68 :

The positive integer divisors of 68 that completely divides 68 are.

1, 2, 4, 17, 34, 68

Divisors of 843 :

The positive integer divisors of 843 that completely divides 843 are.

1, 3, 281, 843

GCD of numbers is the greatest common divisor

So, the GCD (105, 702, 68, 843) = 1.

Given numbers are 105, 702, 68, 843

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 68 are 2 x 2 x 17

Prime factors of 843 are 3 x 281

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

Given numbers are 105, 702, 68, 843

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

Apply this formula for all numbers.

Step1:

LCM(105, 702) = 24570

GCD(105, 702) = ( 105 x 702 ) / 24570

= 105 / 702

= 105

Step2:

LCM(3, 68) = 204

GCD(3, 68) = ( 3 x 68 ) / 204

= 3 / 68

= 3

Step3:

LCM(1, 843) = 843

GCD(1, 843) = ( 1 x 843 ) / 843

= 1 / 843

= 1

So, Greatest Common Divisor of 105, 702, 68, 843 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 671, 294, 29, 983
• GCD of 788, 182, 65, 881
• GCD of 974, 922, 72, 650
• GCD of 451, 407, 62, 910
• GCD of 608, 662, 70, 616

Given numbers are 105, 702, 68, 843
The greatest common divisor of numbers 105, 702, 68, 843 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 702, 68, 843 is 1.

1. What is the GCD of 105, 702, 68, 843?

GCD of given numbers 105, 702, 68, 843 is 1

2. How to calculate the greatest common divisor of 105, 702, 68, 843?

We can find the highest common divisor of 105, 702, 68, 843 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 105, 702, 68, 843 i.e 1.

3. How can I use the GCD of 105, 702, 68, 843Calculator?

Out the numbers 105, 702, 68, 843 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.