GCD of 471, 924, 285, 138 Calculator

Given Input numbers are 471, 924, 285, 138

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 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 138 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (471, 924, 285, 138) = 3.

Given numbers are 471, 924, 285, 138

The list of prime factors of all numbers are

Prime factors of 471 are 3 x 157

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 285 are 3 x 5 x 19

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 3¹

Therefore, GCD of 471, 924, 285, 138 is 3.

Given numbers are 471, 924, 285, 138

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

Apply this formula for all numbers.

Step1:

LCM(471, 924) = 145068

GCD(471, 924) = ( 471 x 924 ) / 145068

= 471 / 924

= 471

Step2:

LCM(3, 285) = 285

GCD(3, 285) = ( 3 x 285 ) / 285

= 3 / 285

= 3

Step3:

LCM(3, 138) = 138

GCD(3, 138) = ( 3 x 138 ) / 138

= 3 / 138

= 3

So, Greatest Common Divisor of 471, 924, 285, 138 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 669, 653, 866, 683
• GCD of 511, 222, 402, 751
• GCD of 155, 661, 166, 192
• GCD of 436, 275, 711, 490
• GCD of 811, 385, 397, 970

Given numbers are 471, 924, 285, 138
The greatest common divisor of numbers 471, 924, 285, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 471, 924, 285, 138 is 3.

1. What is the GCD of 471, 924, 285, 138?

GCD of given numbers 471, 924, 285, 138 is 3

2. How to calculate the greatest common divisor of 471, 924, 285, 138?

We can find the highest common divisor of 471, 924, 285, 138 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, 924, 285, 138 i.e 3.

3. How can I use the GCD of 471, 924, 285, 138Calculator?

Out the numbers 471, 924, 285, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.