GCD of 648, 340, 708, 430 Calculator

Given Input numbers are 648, 340, 708, 430

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 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 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 430 :

The positive integer divisors of 430 that completely divides 430 are.

1, 2, 5, 10, 43, 86, 215, 430

GCD of numbers is the greatest common divisor

So, the GCD (648, 340, 708, 430) = 2.

Given numbers are 648, 340, 708, 430

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 340 are 2 x 2 x 5 x 17

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 430 are 2 x 5 x 43

The highest common occurrence is 2¹

Therefore, GCD of 648, 340, 708, 430 is 2.

Given numbers are 648, 340, 708, 430

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

Apply this formula for all numbers.

Step1:

LCM(648, 340) = 55080

GCD(648, 340) = ( 648 x 340 ) / 55080

= 648 / 340

= 648

Step2:

LCM(4, 708) = 708

GCD(4, 708) = ( 4 x 708 ) / 708

= 4 / 708

= 4

Step3:

LCM(4, 430) = 860

GCD(4, 430) = ( 4 x 430 ) / 860

= 4 / 430

= 4

So, Greatest Common Divisor of 648, 340, 708, 430 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 592, 490, 680, 362
• GCD of 527, 174, 331, 153
• GCD of 653, 257, 996, 809
• GCD of 341, 211, 592, 162
• GCD of 382, 404, 403, 724

Given numbers are 648, 340, 708, 430
The greatest common divisor of numbers 648, 340, 708, 430 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 340, 708, 430 is 2.

1. What is the GCD of 648, 340, 708, 430?

GCD of given numbers 648, 340, 708, 430 is 2

2. How to calculate the greatest common divisor of 648, 340, 708, 430?

We can find the highest common divisor of 648, 340, 708, 430 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, 340, 708, 430 i.e 2.

3. How can I use the GCD of 648, 340, 708, 430Calculator?

Out the numbers 648, 340, 708, 430 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.