GCD of 471, 918, 142, 108 Calculator

Given Input numbers are 471, 918, 142, 108

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

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (471, 918, 142, 108) = 1.

Given numbers are 471, 918, 142, 108

The list of prime factors of all numbers are

Prime factors of 471 are 3 x 157

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 142 are 2 x 71

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

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

Given numbers are 471, 918, 142, 108

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

Apply this formula for all numbers.

Step1:

LCM(471, 918) = 144126

GCD(471, 918) = ( 471 x 918 ) / 144126

= 471 / 918

= 471

Step2:

LCM(3, 142) = 426

GCD(3, 142) = ( 3 x 142 ) / 426

= 3 / 142

= 3

Step3:

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

= 1 / 108

= 1

So, Greatest Common Divisor of 471, 918, 142, 108 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 100, 267, 455, 576
• GCD of 144, 997, 443, 222
• GCD of 537, 260, 422, 634
• GCD of 920, 228, 703, 606
• GCD of 252, 401, 873, 465

Given numbers are 471, 918, 142, 108
The greatest common divisor of numbers 471, 918, 142, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 471, 918, 142, 108 is 1.

1. What is the GCD of 471, 918, 142, 108?

GCD of given numbers 471, 918, 142, 108 is 1

2. How to calculate the greatest common divisor of 471, 918, 142, 108?

We can find the highest common divisor of 471, 918, 142, 108 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 471, 918, 142, 108 i.e 1.

3. How can I use the GCD of 471, 918, 142, 108Calculator?

Out the numbers 471, 918, 142, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.