GCD of 680, 400, 316, 578 Calculator

Given Input numbers are 680, 400, 316, 578

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 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

GCD of numbers is the greatest common divisor

So, the GCD (680, 400, 316, 578) = 2.

Given numbers are 680, 400, 316, 578

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 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 316 are 2 x 2 x 79

Prime factors of 578 are 2 x 17 x 17

The highest common occurrence is 2¹

Therefore, GCD of 680, 400, 316, 578 is 2.

Given numbers are 680, 400, 316, 578

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

Apply this formula for all numbers.

Step1:

LCM(680, 400) = 6800

GCD(680, 400) = ( 680 x 400 ) / 6800

= 680 / 400

= 680

Step2:

LCM(40, 316) = 3160

GCD(40, 316) = ( 40 x 316 ) / 3160

= 40 / 316

= 40

Step3:

LCM(4, 578) = 1156

GCD(4, 578) = ( 4 x 578 ) / 1156

= 4 / 578

= 4

So, Greatest Common Divisor of 680, 400, 316, 578 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 856, 919, 914, 460
• GCD of 459, 582, 684, 755
• GCD of 680, 714, 791, 347
• GCD of 772, 743, 173, 977
• GCD of 239, 621, 582, 374

Given numbers are 680, 400, 316, 578
The greatest common divisor of numbers 680, 400, 316, 578 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 400, 316, 578 is 2.

1. What is the GCD of 680, 400, 316, 578?

GCD of given numbers 680, 400, 316, 578 is 2

2. How to calculate the greatest common divisor of 680, 400, 316, 578?

We can find the highest common divisor of 680, 400, 316, 578 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, 400, 316, 578 i.e 2.

3. How can I use the GCD of 680, 400, 316, 578Calculator?

Out the numbers 680, 400, 316, 578 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.