GCD of 340, 446, 750, 600 Calculator

Given Input numbers are 340, 446, 750, 600

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

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

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

GCD of numbers is the greatest common divisor

So, the GCD (340, 446, 750, 600) = 2.

Given numbers are 340, 446, 750, 600

The list of prime factors of all numbers are

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 446 are 2 x 223

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 340, 446, 750, 600 is 2.

Given numbers are 340, 446, 750, 600

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

Apply this formula for all numbers.

Step1:

LCM(340, 446) = 75820

GCD(340, 446) = ( 340 x 446 ) / 75820

= 340 / 446

= 340

Step2:

LCM(2, 750) = 750

GCD(2, 750) = ( 2 x 750 ) / 750

= 2 / 750

= 2

Step3:

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

= 2 / 600

= 2

So, Greatest Common Divisor of 340, 446, 750, 600 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 842, 328, 699, 435
• GCD of 938, 822, 926, 206
• GCD of 639, 539, 638, 271
• GCD of 760, 160, 917, 176
• GCD of 385, 536, 258, 739

Given numbers are 340, 446, 750, 600
The greatest common divisor of numbers 340, 446, 750, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 446, 750, 600 is 2.

1. What is the GCD of 340, 446, 750, 600?

GCD of given numbers 340, 446, 750, 600 is 2

2. How to calculate the greatest common divisor of 340, 446, 750, 600?

We can find the highest common divisor of 340, 446, 750, 600 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 340, 446, 750, 600 i.e 2.

3. How can I use the GCD of 340, 446, 750, 600Calculator?

Out the numbers 340, 446, 750, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.