GCD of 105, 472, 112, 618 Calculator

Given Input numbers are 105, 472, 112, 618

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 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

GCD of numbers is the greatest common divisor

So, the GCD (105, 472, 112, 618) = 1.

Given numbers are 105, 472, 112, 618

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 618 are 2 x 3 x 103

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

Given numbers are 105, 472, 112, 618

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

Apply this formula for all numbers.

Step1:

LCM(105, 472) = 49560

GCD(105, 472) = ( 105 x 472 ) / 49560

= 105 / 472

= 105

Step2:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

Step3:

LCM(1, 618) = 618

GCD(1, 618) = ( 1 x 618 ) / 618

= 1 / 618

= 1

So, Greatest Common Divisor of 105, 472, 112, 618 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 817, 710, 155, 881
• GCD of 848, 430, 875, 308
• GCD of 870, 502, 224, 221
• GCD of 985, 534, 478, 370
• GCD of 152, 921, 425, 324

Given numbers are 105, 472, 112, 618
The greatest common divisor of numbers 105, 472, 112, 618 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 472, 112, 618 is 1.

1. What is the GCD of 105, 472, 112, 618?

GCD of given numbers 105, 472, 112, 618 is 1

2. How to calculate the greatest common divisor of 105, 472, 112, 618?

We can find the highest common divisor of 105, 472, 112, 618 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, 472, 112, 618 i.e 1.

3. How can I use the GCD of 105, 472, 112, 618Calculator?

Out the numbers 105, 472, 112, 618 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.