GCD of 642, 852, 354, 444 Calculator

Given Input numbers are 642, 852, 354, 444

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

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

GCD of numbers is the greatest common divisor

So, the GCD (642, 852, 354, 444) = 6.

Given numbers are 642, 852, 354, 444

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

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

Prime factors of 354 are 2 x 3 x 59

Prime factors of 444 are 2 x 2 x 3 x 37

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 642, 852, 354, 444 is 6.

Given numbers are 642, 852, 354, 444

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

Apply this formula for all numbers.

Step1:

LCM(642, 852) = 91164

GCD(642, 852) = ( 642 x 852 ) / 91164

= 642 / 852

= 642

Step2:

LCM(6, 354) = 354

GCD(6, 354) = ( 6 x 354 ) / 354

= 6 / 354

= 6

Step3:

LCM(6, 444) = 444

GCD(6, 444) = ( 6 x 444 ) / 444

= 6 / 444

= 6

So, Greatest Common Divisor of 642, 852, 354, 444 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 474, 520, 891, 829
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• GCD of 119, 419, 760, 158
• GCD of 984, 331, 765, 380
• GCD of 126, 753, 636, 296

Given numbers are 642, 852, 354, 444
The greatest common divisor of numbers 642, 852, 354, 444 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 852, 354, 444 is 6.

1. What is the GCD of 642, 852, 354, 444?

GCD of given numbers 642, 852, 354, 444 is 6

2. How to calculate the greatest common divisor of 642, 852, 354, 444?

We can find the highest common divisor of 642, 852, 354, 444 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 642, 852, 354, 444 i.e 6.

3. How can I use the GCD of 642, 852, 354, 444Calculator?

Out the numbers 642, 852, 354, 444 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.