GCD of 460, 160, 820, 684 Calculator

Given Input numbers are 460, 160, 820, 684

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (460, 160, 820, 684) = 4.

Given numbers are 460, 160, 820, 684

The list of prime factors of all numbers are

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The highest common occurrence is 2²

Therefore, GCD of 460, 160, 820, 684 is 4.

Given numbers are 460, 160, 820, 684

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

Apply this formula for all numbers.

Step1:

LCM(460, 160) = 3680

GCD(460, 160) = ( 460 x 160 ) / 3680

= 460 / 160

= 460

Step2:

LCM(20, 820) = 820

GCD(20, 820) = ( 20 x 820 ) / 820

= 20 / 820

= 20

Step3:

LCM(20, 684) = 3420

GCD(20, 684) = ( 20 x 684 ) / 3420

= 20 / 684

= 20

So, Greatest Common Divisor of 460, 160, 820, 684 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 309, 418, 662, 465
• GCD of 707, 997, 345, 888
• GCD of 834, 920, 200, 933
• GCD of 778, 508, 323, 315
• GCD of 979, 159, 249, 768

Given numbers are 460, 160, 820, 684
The greatest common divisor of numbers 460, 160, 820, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 160, 820, 684 is 4.

1. What is the GCD of 460, 160, 820, 684?

GCD of given numbers 460, 160, 820, 684 is 4

2. How to calculate the greatest common divisor of 460, 160, 820, 684?

We can find the highest common divisor of 460, 160, 820, 684 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 460, 160, 820, 684 i.e 4.

3. How can I use the GCD of 460, 160, 820, 684Calculator?

Out the numbers 460, 160, 820, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.