GCD of 440, 598, 848, 180 Calculator

Given Input numbers are 440, 598, 848, 180

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 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (440, 598, 848, 180) = 2.

Given numbers are 440, 598, 848, 180

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 598 are 2 x 13 x 23

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 440, 598, 848, 180 is 2.

Given numbers are 440, 598, 848, 180

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

Apply this formula for all numbers.

Step1:

LCM(440, 598) = 131560

GCD(440, 598) = ( 440 x 598 ) / 131560

= 440 / 598

= 440

Step2:

LCM(2, 848) = 848

GCD(2, 848) = ( 2 x 848 ) / 848

= 2 / 848

= 2

Step3:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

So, Greatest Common Divisor of 440, 598, 848, 180 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 614, 942, 803, 767
• GCD of 603, 457, 691, 225
• GCD of 318, 617, 292, 220
• GCD of 458, 982, 761, 255
• GCD of 645, 901, 706, 184

Given numbers are 440, 598, 848, 180
The greatest common divisor of numbers 440, 598, 848, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 440, 598, 848, 180 is 2.

1. What is the GCD of 440, 598, 848, 180?

GCD of given numbers 440, 598, 848, 180 is 2

2. How to calculate the greatest common divisor of 440, 598, 848, 180?

We can find the highest common divisor of 440, 598, 848, 180 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, 598, 848, 180 i.e 2.

3. How can I use the GCD of 440, 598, 848, 180Calculator?

Out the numbers 440, 598, 848, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.