GCD of 648, 852, 380, 154 Calculator

Given Input numbers are 648, 852, 380, 154

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

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

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 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

GCD of numbers is the greatest common divisor

So, the GCD (648, 852, 380, 154) = 2.

Given numbers are 648, 852, 380, 154

The list of prime factors of all numbers are

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

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

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 154 are 2 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 648, 852, 380, 154 is 2.

Given numbers are 648, 852, 380, 154

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

Apply this formula for all numbers.

Step1:

LCM(648, 852) = 46008

GCD(648, 852) = ( 648 x 852 ) / 46008

= 648 / 852

= 648

Step2:

LCM(12, 380) = 1140

GCD(12, 380) = ( 12 x 380 ) / 1140

= 12 / 380

= 12

Step3:

LCM(4, 154) = 308

GCD(4, 154) = ( 4 x 154 ) / 308

= 4 / 154

= 4

So, Greatest Common Divisor of 648, 852, 380, 154 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 622, 820, 529, 325
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Given numbers are 648, 852, 380, 154
The greatest common divisor of numbers 648, 852, 380, 154 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 852, 380, 154 is 2.

1. What is the GCD of 648, 852, 380, 154?

GCD of given numbers 648, 852, 380, 154 is 2

2. How to calculate the greatest common divisor of 648, 852, 380, 154?

We can find the highest common divisor of 648, 852, 380, 154 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 648, 852, 380, 154 i.e 2.

3. How can I use the GCD of 648, 852, 380, 154Calculator?

Out the numbers 648, 852, 380, 154 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.