GCD of 460, 848, 550, 320 Calculator

Given Input numbers are 460, 848, 550, 320

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 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (460, 848, 550, 320) = 2.

Given numbers are 460, 848, 550, 320

The list of prime factors of all numbers are

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

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 460, 848, 550, 320 is 2.

Given numbers are 460, 848, 550, 320

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

Apply this formula for all numbers.

Step1:

LCM(460, 848) = 97520

GCD(460, 848) = ( 460 x 848 ) / 97520

= 460 / 848

= 460

Step2:

LCM(4, 550) = 1100

GCD(4, 550) = ( 4 x 550 ) / 1100

= 4 / 550

= 4

Step3:

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

= 2 / 320

= 2

So, Greatest Common Divisor of 460, 848, 550, 320 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 279, 474, 831, 665
• GCD of 651, 949, 200, 677
• GCD of 806, 863, 137, 492
• GCD of 469, 270, 459, 791
• GCD of 355, 841, 328, 988

Given numbers are 460, 848, 550, 320
The greatest common divisor of numbers 460, 848, 550, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 848, 550, 320 is 2.

1. What is the GCD of 460, 848, 550, 320?

GCD of given numbers 460, 848, 550, 320 is 2

2. How to calculate the greatest common divisor of 460, 848, 550, 320?

We can find the highest common divisor of 460, 848, 550, 320 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, 848, 550, 320 i.e 2.

3. How can I use the GCD of 460, 848, 550, 320Calculator?

Out the numbers 460, 848, 550, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.