GCD of 600, 320, 343, 308 Calculator

Given Input numbers are 600, 320, 343, 308

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

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

GCD of numbers is the greatest common divisor

So, the GCD (600, 320, 343, 308) = 1.

Given numbers are 600, 320, 343, 308

The list of prime factors of all numbers are

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

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

Prime factors of 343 are 7 x 7 x 7

Prime factors of 308 are 2 x 2 x 7 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 600, 320, 343, 308

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

Apply this formula for all numbers.

Step1:

LCM(600, 320) = 4800

GCD(600, 320) = ( 600 x 320 ) / 4800

= 600 / 320

= 600

Step2:

LCM(40, 343) = 13720

GCD(40, 343) = ( 40 x 343 ) / 13720

= 40 / 343

= 40

Step3:

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

= 1 / 308

= 1

So, Greatest Common Divisor of 600, 320, 343, 308 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 369, 414, 248, 326
• GCD of 811, 930, 927, 920
• GCD of 904, 991, 409, 952
• GCD of 710, 688, 389, 857
• GCD of 813, 842, 153, 926

Given numbers are 600, 320, 343, 308
The greatest common divisor of numbers 600, 320, 343, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 320, 343, 308 is 1.

1. What is the GCD of 600, 320, 343, 308?

GCD of given numbers 600, 320, 343, 308 is 1

2. How to calculate the greatest common divisor of 600, 320, 343, 308?

We can find the highest common divisor of 600, 320, 343, 308 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 600, 320, 343, 308 i.e 1.

3. How can I use the GCD of 600, 320, 343, 308Calculator?

Out the numbers 600, 320, 343, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.