GCD of 680, 648, 896, 344 Calculator

Given Input numbers are 680, 648, 896, 344

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

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 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

GCD of numbers is the greatest common divisor

So, the GCD (680, 648, 896, 344) = 8.

Given numbers are 680, 648, 896, 344

The list of prime factors of all numbers are

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

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

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 344 are 2 x 2 x 2 x 43

The highest common occurrence is 2³

Therefore, GCD of 680, 648, 896, 344 is 8.

Given numbers are 680, 648, 896, 344

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

Apply this formula for all numbers.

Step1:

LCM(680, 648) = 55080

GCD(680, 648) = ( 680 x 648 ) / 55080

= 680 / 648

= 680

Step2:

LCM(8, 896) = 896

GCD(8, 896) = ( 8 x 896 ) / 896

= 8 / 896

= 8

Step3:

LCM(8, 344) = 344

GCD(8, 344) = ( 8 x 344 ) / 344

= 8 / 344

= 8

So, Greatest Common Divisor of 680, 648, 896, 344 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 364, 671, 529, 218
• GCD of 504, 281, 773, 743
• GCD of 980, 178, 496, 314
• GCD of 793, 352, 187, 189
• GCD of 731, 844, 442, 723

Given numbers are 680, 648, 896, 344
The greatest common divisor of numbers 680, 648, 896, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 648, 896, 344 is 8.

1. What is the GCD of 680, 648, 896, 344?

GCD of given numbers 680, 648, 896, 344 is 8

2. How to calculate the greatest common divisor of 680, 648, 896, 344?

We can find the highest common divisor of 680, 648, 896, 344 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 680, 648, 896, 344 i.e 8.

3. How can I use the GCD of 680, 648, 896, 344Calculator?

Out the numbers 680, 648, 896, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.