GCD of 791, 420, 83, 106 Calculator

Given Input numbers are 791, 420, 83, 106

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

Divisors of 791 :

The positive integer divisors of 791 that completely divides 791 are.

1, 7, 113, 791

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 83 :

The positive integer divisors of 83 that completely divides 83 are.

1, 83

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

GCD of numbers is the greatest common divisor

So, the GCD (791, 420, 83, 106) = 1.

Given numbers are 791, 420, 83, 106

The list of prime factors of all numbers are

Prime factors of 791 are 7 x 113

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 83 are 83

Prime factors of 106 are 2 x 53

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

Given numbers are 791, 420, 83, 106

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

Apply this formula for all numbers.

Step1:

LCM(791, 420) = 47460

GCD(791, 420) = ( 791 x 420 ) / 47460

= 791 / 420

= 791

Step2:

LCM(7, 83) = 581

GCD(7, 83) = ( 7 x 83 ) / 581

= 7 / 83

= 7

Step3:

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

= 1 / 106

= 1

So, Greatest Common Divisor of 791, 420, 83, 106 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 634, 404, 69, 538
• GCD of 467, 701, 68, 327
• GCD of 993, 108, 71, 763
• GCD of 540, 208, 14, 256
• GCD of 631, 799, 17, 960

Given numbers are 791, 420, 83, 106
The greatest common divisor of numbers 791, 420, 83, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 791, 420, 83, 106 is 1.

1. What is the GCD of 791, 420, 83, 106?

GCD of given numbers 791, 420, 83, 106 is 1

2. How to calculate the greatest common divisor of 791, 420, 83, 106?

We can find the highest common divisor of 791, 420, 83, 106 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 791, 420, 83, 106 i.e 1.

3. How can I use the GCD of 791, 420, 83, 106Calculator?

Out the numbers 791, 420, 83, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.