GCD of 474, 624, 645, 852 Calculator

Given Input numbers are 474, 624, 645, 852

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

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

GCD of numbers is the greatest common divisor

So, the GCD (474, 624, 645, 852) = 3.

Given numbers are 474, 624, 645, 852

The list of prime factors of all numbers are

Prime factors of 474 are 2 x 3 x 79

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 645 are 3 x 5 x 43

Prime factors of 852 are 2 x 2 x 3 x 71

The highest common occurrence is 3¹

Therefore, GCD of 474, 624, 645, 852 is 3.

Given numbers are 474, 624, 645, 852

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

Apply this formula for all numbers.

Step1:

LCM(474, 624) = 49296

GCD(474, 624) = ( 474 x 624 ) / 49296

= 474 / 624

= 474

Step2:

LCM(6, 645) = 1290

GCD(6, 645) = ( 6 x 645 ) / 1290

= 6 / 645

= 6

Step3:

LCM(3, 852) = 852

GCD(3, 852) = ( 3 x 852 ) / 852

= 3 / 852

= 3

So, Greatest Common Divisor of 474, 624, 645, 852 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 490, 901, 185, 151
• GCD of 911, 883, 916, 292
• GCD of 906, 192, 708, 125
• GCD of 484, 119, 111, 825
• GCD of 550, 569, 866, 478

Given numbers are 474, 624, 645, 852
The greatest common divisor of numbers 474, 624, 645, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 624, 645, 852 is 3.

1. What is the GCD of 474, 624, 645, 852?

GCD of given numbers 474, 624, 645, 852 is 3

2. How to calculate the greatest common divisor of 474, 624, 645, 852?

We can find the highest common divisor of 474, 624, 645, 852 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 474, 624, 645, 852 i.e 3.

3. How can I use the GCD of 474, 624, 645, 852Calculator?

Out the numbers 474, 624, 645, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.