GCD of 440, 938, 870, 342 Calculator

Given Input numbers are 440, 938, 870, 342

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

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (440, 938, 870, 342) = 2.

Given numbers are 440, 938, 870, 342

The list of prime factors of all numbers are

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 938 are 2 x 7 x 67

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 342 are 2 x 3 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 440, 938, 870, 342 is 2.

Given numbers are 440, 938, 870, 342

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

Apply this formula for all numbers.

Step1:

LCM(440, 938) = 206360

GCD(440, 938) = ( 440 x 938 ) / 206360

= 440 / 938

= 440

Step2:

LCM(2, 870) = 870

GCD(2, 870) = ( 2 x 870 ) / 870

= 2 / 870

= 2

Step3:

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

= 2 / 342

= 2

So, Greatest Common Divisor of 440, 938, 870, 342 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 229, 340, 125, 962
• GCD of 670, 338, 874, 309
• GCD of 397, 961, 490, 462
• GCD of 270, 348, 408, 945
• GCD of 268, 892, 270, 740

Given numbers are 440, 938, 870, 342
The greatest common divisor of numbers 440, 938, 870, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 440, 938, 870, 342 is 2.

1. What is the GCD of 440, 938, 870, 342?

GCD of given numbers 440, 938, 870, 342 is 2

2. How to calculate the greatest common divisor of 440, 938, 870, 342?

We can find the highest common divisor of 440, 938, 870, 342 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 440, 938, 870, 342 i.e 2.

3. How can I use the GCD of 440, 938, 870, 342Calculator?

Out the numbers 440, 938, 870, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.