GCD of 488, 709, 105, 474 Calculator

Given Input numbers are 488, 709, 105, 474

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

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

Divisors of 105 :

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

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

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

GCD of numbers is the greatest common divisor

So, the GCD (488, 709, 105, 474) = 1.

Given numbers are 488, 709, 105, 474

The list of prime factors of all numbers are

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 709 are 709

Prime factors of 105 are 3 x 5 x 7

Prime factors of 474 are 2 x 3 x 79

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

Given numbers are 488, 709, 105, 474

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

Apply this formula for all numbers.

Step1:

LCM(488, 709) = 345992

GCD(488, 709) = ( 488 x 709 ) / 345992

= 488 / 709

= 488

Step2:

LCM(1, 105) = 105

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

= 1 / 105

= 1

Step3:

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

= 1 / 474

= 1

So, Greatest Common Divisor of 488, 709, 105, 474 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 195, 454, 112, 593
• GCD of 534, 829, 845, 131
• GCD of 297, 406, 706, 274
• GCD of 191, 376, 104, 791
• GCD of 417, 553, 603, 164

Given numbers are 488, 709, 105, 474
The greatest common divisor of numbers 488, 709, 105, 474 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 709, 105, 474 is 1.

1. What is the GCD of 488, 709, 105, 474?

GCD of given numbers 488, 709, 105, 474 is 1

2. How to calculate the greatest common divisor of 488, 709, 105, 474?

We can find the highest common divisor of 488, 709, 105, 474 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 488, 709, 105, 474 i.e 1.

3. How can I use the GCD of 488, 709, 105, 474Calculator?

Out the numbers 488, 709, 105, 474 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.