GCD of 470, 175, 790, 120 Calculator

Given Input numbers are 470, 175, 790, 120

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

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

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 (470, 175, 790, 120) = 5.

Given numbers are 470, 175, 790, 120

The list of prime factors of all numbers are

Prime factors of 470 are 2 x 5 x 47

Prime factors of 175 are 5 x 5 x 7

Prime factors of 790 are 2 x 5 x 79

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

The highest common occurrence is 5¹

Therefore, GCD of 470, 175, 790, 120 is 5.

Given numbers are 470, 175, 790, 120

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

Apply this formula for all numbers.

Step1:

LCM(470, 175) = 16450

GCD(470, 175) = ( 470 x 175 ) / 16450

= 470 / 175

= 470

Step2:

LCM(5, 790) = 790

GCD(5, 790) = ( 5 x 790 ) / 790

= 5 / 790

= 5

Step3:

LCM(5, 120) = 120

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

= 5 / 120

= 5

So, Greatest Common Divisor of 470, 175, 790, 120 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 708, 259, 655, 329
• GCD of 716, 473, 104, 794
• GCD of 257, 453, 394, 693
• GCD of 500, 793, 853, 793
• GCD of 996, 227, 326, 366

Given numbers are 470, 175, 790, 120
The greatest common divisor of numbers 470, 175, 790, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 175, 790, 120 is 5.

1. What is the GCD of 470, 175, 790, 120?

GCD of given numbers 470, 175, 790, 120 is 5

2. How to calculate the greatest common divisor of 470, 175, 790, 120?

We can find the highest common divisor of 470, 175, 790, 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 470, 175, 790, 120 i.e 5.

3. How can I use the GCD of 470, 175, 790, 120Calculator?

Out the numbers 470, 175, 790, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.