GCD of 340, 350, 112, 330 Calculator

Given Input numbers are 340, 350, 112, 330

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 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

GCD of numbers is the greatest common divisor

So, the GCD (340, 350, 112, 330) = 2.

Given numbers are 340, 350, 112, 330

The list of prime factors of all numbers are

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

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 330 are 2 x 3 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 340, 350, 112, 330 is 2.

Given numbers are 340, 350, 112, 330

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

Apply this formula for all numbers.

Step1:

LCM(340, 350) = 11900

GCD(340, 350) = ( 340 x 350 ) / 11900

= 340 / 350

= 340

Step2:

LCM(10, 112) = 560

GCD(10, 112) = ( 10 x 112 ) / 560

= 10 / 112

= 10

Step3:

LCM(2, 330) = 330

GCD(2, 330) = ( 2 x 330 ) / 330

= 2 / 330

= 2

So, Greatest Common Divisor of 340, 350, 112, 330 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 450, 144, 979, 892
• GCD of 736, 195, 885, 627
• GCD of 334, 194, 738, 996
• GCD of 191, 437, 286, 249
• GCD of 521, 101, 928, 595

Given numbers are 340, 350, 112, 330
The greatest common divisor of numbers 340, 350, 112, 330 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 350, 112, 330 is 2.

1. What is the GCD of 340, 350, 112, 330?

GCD of given numbers 340, 350, 112, 330 is 2

2. How to calculate the greatest common divisor of 340, 350, 112, 330?

We can find the highest common divisor of 340, 350, 112, 330 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, 350, 112, 330 i.e 2.

3. How can I use the GCD of 340, 350, 112, 330Calculator?

Out the numbers 340, 350, 112, 330 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.