GCD of 680, 516, 896, 662 Calculator

Given Input numbers are 680, 516, 896, 662

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 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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 662 :

The positive integer divisors of 662 that completely divides 662 are.

1, 2, 331, 662

GCD of numbers is the greatest common divisor

So, the GCD (680, 516, 896, 662) = 2.

Given numbers are 680, 516, 896, 662

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 516 are 2 x 2 x 3 x 43

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

Prime factors of 662 are 2 x 331

The highest common occurrence is 2¹

Therefore, GCD of 680, 516, 896, 662 is 2.

Given numbers are 680, 516, 896, 662

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

Apply this formula for all numbers.

Step1:

LCM(680, 516) = 87720

GCD(680, 516) = ( 680 x 516 ) / 87720

= 680 / 516

= 680

Step2:

LCM(4, 896) = 896

GCD(4, 896) = ( 4 x 896 ) / 896

= 4 / 896

= 4

Step3:

LCM(4, 662) = 1324

GCD(4, 662) = ( 4 x 662 ) / 1324

= 4 / 662

= 4

So, Greatest Common Divisor of 680, 516, 896, 662 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 715, 970, 837, 597
• GCD of 452, 164, 936, 752
• GCD of 868, 945, 906, 463
• GCD of 695, 646, 779, 475
• GCD of 354, 278, 249, 371

Given numbers are 680, 516, 896, 662
The greatest common divisor of numbers 680, 516, 896, 662 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 516, 896, 662 is 2.

1. What is the GCD of 680, 516, 896, 662?

GCD of given numbers 680, 516, 896, 662 is 2

2. How to calculate the greatest common divisor of 680, 516, 896, 662?

We can find the highest common divisor of 680, 516, 896, 662 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, 516, 896, 662 i.e 2.

3. How can I use the GCD of 680, 516, 896, 662Calculator?

Out the numbers 680, 516, 896, 662 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.