GCD of 618, 138, 753, 471 Calculator

Given Input numbers are 618, 138, 753, 471

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

Divisors of 618 :

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

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

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 471 :

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

1, 3, 157, 471

GCD of numbers is the greatest common divisor

So, the GCD (618, 138, 753, 471) = 3.

Given numbers are 618, 138, 753, 471

The list of prime factors of all numbers are

Prime factors of 618 are 2 x 3 x 103

Prime factors of 138 are 2 x 3 x 23

Prime factors of 753 are 3 x 251

Prime factors of 471 are 3 x 157

The highest common occurrence is 3¹

Therefore, GCD of 618, 138, 753, 471 is 3.

Given numbers are 618, 138, 753, 471

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

Apply this formula for all numbers.

Step1:

LCM(618, 138) = 14214

GCD(618, 138) = ( 618 x 138 ) / 14214

= 618 / 138

= 618

Step2:

LCM(6, 753) = 1506

GCD(6, 753) = ( 6 x 753 ) / 1506

= 6 / 753

= 6

Step3:

LCM(3, 471) = 471

GCD(3, 471) = ( 3 x 471 ) / 471

= 3 / 471

= 3

So, Greatest Common Divisor of 618, 138, 753, 471 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 344, 782, 429, 593
• GCD of 166, 819, 163, 415
• GCD of 267, 315, 160, 372
• GCD of 489, 963, 349, 158
• GCD of 204, 338, 108, 890

Given numbers are 618, 138, 753, 471
The greatest common divisor of numbers 618, 138, 753, 471 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 618, 138, 753, 471 is 3.

1. What is the GCD of 618, 138, 753, 471?

GCD of given numbers 618, 138, 753, 471 is 3

2. How to calculate the greatest common divisor of 618, 138, 753, 471?

We can find the highest common divisor of 618, 138, 753, 471 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 618, 138, 753, 471 i.e 3.

3. How can I use the GCD of 618, 138, 753, 471Calculator?

Out the numbers 618, 138, 753, 471 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.