GCD of 440, 395, 260, 870 Calculator

Given Input numbers are 440, 395, 260, 870

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 395 :

The positive integer divisors of 395 that completely divides 395 are.

1, 5, 79, 395

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

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

GCD of numbers is the greatest common divisor

So, the GCD (440, 395, 260, 870) = 5.

Given numbers are 440, 395, 260, 870

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 395 are 5 x 79

Prime factors of 260 are 2 x 2 x 5 x 13

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

The highest common occurrence is 5¹

Therefore, GCD of 440, 395, 260, 870 is 5.

Given numbers are 440, 395, 260, 870

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

Apply this formula for all numbers.

Step1:

LCM(440, 395) = 34760

GCD(440, 395) = ( 440 x 395 ) / 34760

= 440 / 395

= 440

Step2:

LCM(5, 260) = 260

GCD(5, 260) = ( 5 x 260 ) / 260

= 5 / 260

= 5

Step3:

LCM(5, 870) = 870

GCD(5, 870) = ( 5 x 870 ) / 870

= 5 / 870

= 5

So, Greatest Common Divisor of 440, 395, 260, 870 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 713, 520, 463, 698
• GCD of 577, 201, 231, 130
• GCD of 979, 246, 173, 972
• GCD of 125, 478, 922, 888
• GCD of 684, 313, 731, 827

Given numbers are 440, 395, 260, 870
The greatest common divisor of numbers 440, 395, 260, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 440, 395, 260, 870 is 5.

1. What is the GCD of 440, 395, 260, 870?

GCD of given numbers 440, 395, 260, 870 is 5

2. How to calculate the greatest common divisor of 440, 395, 260, 870?

We can find the highest common divisor of 440, 395, 260, 870 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, 395, 260, 870 i.e 5.

3. How can I use the GCD of 440, 395, 260, 870Calculator?

Out the numbers 440, 395, 260, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.