GCD of 340, 544, 648, 438 Calculator

Given Input numbers are 340, 544, 648, 438

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

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 544 :

The positive integer divisors of 544 that completely divides 544 are.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

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 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (340, 544, 648, 438) = 2.

Given numbers are 340, 544, 648, 438

The list of prime factors of all numbers are

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17

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

Prime factors of 438 are 2 x 3 x 73

The highest common occurrence is 2¹

Therefore, GCD of 340, 544, 648, 438 is 2.

Given numbers are 340, 544, 648, 438

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

Apply this formula for all numbers.

Step1:

LCM(340, 544) = 2720

GCD(340, 544) = ( 340 x 544 ) / 2720

= 340 / 544

= 340

Step2:

LCM(68, 648) = 11016

GCD(68, 648) = ( 68 x 648 ) / 11016

= 68 / 648

= 68

Step3:

LCM(4, 438) = 876

GCD(4, 438) = ( 4 x 438 ) / 876

= 4 / 438

= 4

So, Greatest Common Divisor of 340, 544, 648, 438 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 529, 562, 964, 151
• GCD of 689, 695, 238, 558
• GCD of 975, 638, 695, 721
• GCD of 493, 383, 378, 335
• GCD of 538, 906, 637, 408

Given numbers are 340, 544, 648, 438
The greatest common divisor of numbers 340, 544, 648, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 544, 648, 438 is 2.

1. What is the GCD of 340, 544, 648, 438?

GCD of given numbers 340, 544, 648, 438 is 2

2. How to calculate the greatest common divisor of 340, 544, 648, 438?

We can find the highest common divisor of 340, 544, 648, 438 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 340, 544, 648, 438 i.e 2.

3. How can I use the GCD of 340, 544, 648, 438Calculator?

Out the numbers 340, 544, 648, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.