GCD of 440, 678, 236, 120 Calculator

Given Input numbers are 440, 678, 236, 120

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 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 236 :

The positive integer divisors of 236 that completely divides 236 are.

1, 2, 4, 59, 118, 236

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD of numbers is the greatest common divisor

So, the GCD (440, 678, 236, 120) = 2.

Given numbers are 440, 678, 236, 120

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 678 are 2 x 3 x 113

Prime factors of 236 are 2 x 2 x 59

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 440, 678, 236, 120 is 2.

Given numbers are 440, 678, 236, 120

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

Apply this formula for all numbers.

Step1:

LCM(440, 678) = 149160

GCD(440, 678) = ( 440 x 678 ) / 149160

= 440 / 678

= 440

Step2:

LCM(2, 236) = 236

GCD(2, 236) = ( 2 x 236 ) / 236

= 2 / 236

= 2

Step3:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

So, Greatest Common Divisor of 440, 678, 236, 120 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 960, 793, 338, 835
• GCD of 741, 440, 246, 759
• GCD of 164, 499, 755, 979
• GCD of 977, 152, 932, 702
• GCD of 743, 806, 536, 791

Given numbers are 440, 678, 236, 120
The greatest common divisor of numbers 440, 678, 236, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 440, 678, 236, 120 is 2.

1. What is the GCD of 440, 678, 236, 120?

GCD of given numbers 440, 678, 236, 120 is 2

2. How to calculate the greatest common divisor of 440, 678, 236, 120?

We can find the highest common divisor of 440, 678, 236, 120 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, 678, 236, 120 i.e 2.

3. How can I use the GCD of 440, 678, 236, 120Calculator?

Out the numbers 440, 678, 236, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.