GCD of 471, 426, 162, 678 Calculator

Given Input numbers are 471, 426, 162, 678

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 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (471, 426, 162, 678) = 3.

Given numbers are 471, 426, 162, 678

The list of prime factors of all numbers are

Prime factors of 471 are 3 x 157

Prime factors of 426 are 2 x 3 x 71

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 3¹

Therefore, GCD of 471, 426, 162, 678 is 3.

Given numbers are 471, 426, 162, 678

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

Apply this formula for all numbers.

Step1:

LCM(471, 426) = 66882

GCD(471, 426) = ( 471 x 426 ) / 66882

= 471 / 426

= 471

Step2:

LCM(3, 162) = 162

GCD(3, 162) = ( 3 x 162 ) / 162

= 3 / 162

= 3

Step3:

LCM(3, 678) = 678

GCD(3, 678) = ( 3 x 678 ) / 678

= 3 / 678

= 3

So, Greatest Common Divisor of 471, 426, 162, 678 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 992, 351, 214, 461
• GCD of 285, 487, 569, 457
• GCD of 397, 905, 468, 914
• GCD of 889, 392, 669, 835
• GCD of 356, 728, 946, 567

Given numbers are 471, 426, 162, 678
The greatest common divisor of numbers 471, 426, 162, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 471, 426, 162, 678 is 3.

1. What is the GCD of 471, 426, 162, 678?

GCD of given numbers 471, 426, 162, 678 is 3

2. How to calculate the greatest common divisor of 471, 426, 162, 678?

We can find the highest common divisor of 471, 426, 162, 678 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, 426, 162, 678 i.e 3.

3. How can I use the GCD of 471, 426, 162, 678Calculator?

Out the numbers 471, 426, 162, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.