GCD of 820, 349, 106, 103 Calculator

Given Input numbers are 820, 349, 106, 103

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

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 106 :

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

1, 2, 53, 106

Divisors of 103 :

The positive integer divisors of 103 that completely divides 103 are.

1, 103

GCD of numbers is the greatest common divisor

So, the GCD (820, 349, 106, 103) = 1.

Given numbers are 820, 349, 106, 103

The list of prime factors of all numbers are

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 349 are 349

Prime factors of 106 are 2 x 53

Prime factors of 103 are 103

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

Given numbers are 820, 349, 106, 103

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

Apply this formula for all numbers.

Step1:

LCM(820, 349) = 286180

GCD(820, 349) = ( 820 x 349 ) / 286180

= 820 / 349

= 820

Step2:

LCM(1, 106) = 106

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

= 1 / 106

= 1

Step3:

LCM(1, 103) = 103

GCD(1, 103) = ( 1 x 103 ) / 103

= 1 / 103

= 1

So, Greatest Common Divisor of 820, 349, 106, 103 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 397, 465, 359, 837
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• GCD of 756, 904, 409, 465
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• GCD of 881, 555, 429, 511

Given numbers are 820, 349, 106, 103
The greatest common divisor of numbers 820, 349, 106, 103 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 349, 106, 103 is 1.

1. What is the GCD of 820, 349, 106, 103?

GCD of given numbers 820, 349, 106, 103 is 1

2. How to calculate the greatest common divisor of 820, 349, 106, 103?

We can find the highest common divisor of 820, 349, 106, 103 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 820, 349, 106, 103 i.e 1.

3. How can I use the GCD of 820, 349, 106, 103Calculator?

Out the numbers 820, 349, 106, 103 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.