GCD of 105, 502, 380, 984 Calculator

Given Input numbers are 105, 502, 380, 984

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 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

GCD of numbers is the greatest common divisor

So, the GCD (105, 502, 380, 984) = 1.

Given numbers are 105, 502, 380, 984

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 502 are 2 x 251

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

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

Given numbers are 105, 502, 380, 984

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

Apply this formula for all numbers.

Step1:

LCM(105, 502) = 52710

GCD(105, 502) = ( 105 x 502 ) / 52710

= 105 / 502

= 105

Step2:

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

= 1 / 380

= 1

Step3:

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

= 1 / 984

= 1

So, Greatest Common Divisor of 105, 502, 380, 984 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 948, 471, 159, 985
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Given numbers are 105, 502, 380, 984
The greatest common divisor of numbers 105, 502, 380, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 502, 380, 984 is 1.

1. What is the GCD of 105, 502, 380, 984?

GCD of given numbers 105, 502, 380, 984 is 1

2. How to calculate the greatest common divisor of 105, 502, 380, 984?

We can find the highest common divisor of 105, 502, 380, 984 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, 502, 380, 984 i.e 1.

3. How can I use the GCD of 105, 502, 380, 984Calculator?

Out the numbers 105, 502, 380, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.