GCD of 110, 735, 480, 120 Calculator

Given Input numbers are 110, 735, 480, 120

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

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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 (110, 735, 480, 120) = 5.

Given numbers are 110, 735, 480, 120

The list of prime factors of all numbers are

Prime factors of 110 are 2 x 5 x 11

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

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

The highest common occurrence is 5¹

Therefore, GCD of 110, 735, 480, 120 is 5.

Given numbers are 110, 735, 480, 120

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

Apply this formula for all numbers.

Step1:

LCM(110, 735) = 16170

GCD(110, 735) = ( 110 x 735 ) / 16170

= 110 / 735

= 110

Step2:

LCM(5, 480) = 480

GCD(5, 480) = ( 5 x 480 ) / 480

= 5 / 480

= 5

Step3:

LCM(5, 120) = 120

GCD(5, 120) = ( 5 x 120 ) / 120

= 5 / 120

= 5

So, Greatest Common Divisor of 110, 735, 480, 120 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 252, 724, 190, 721
• GCD of 829, 843, 441, 895
• GCD of 253, 162, 311, 266
• GCD of 428, 649, 246, 471
• GCD of 715, 936, 151, 563

Given numbers are 110, 735, 480, 120
The greatest common divisor of numbers 110, 735, 480, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 110, 735, 480, 120 is 5.

1. What is the GCD of 110, 735, 480, 120?

GCD of given numbers 110, 735, 480, 120 is 5

2. How to calculate the greatest common divisor of 110, 735, 480, 120?

We can find the highest common divisor of 110, 735, 480, 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 110, 735, 480, 120 i.e 5.

3. How can I use the GCD of 110, 735, 480, 120Calculator?

Out the numbers 110, 735, 480, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.