GCD of 918, 920, 470, 490 Calculator

Given Input numbers are 918, 920, 470, 490

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

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 470 :

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

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

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

GCD of numbers is the greatest common divisor

So, the GCD (918, 920, 470, 490) = 2.

Given numbers are 918, 920, 470, 490

The list of prime factors of all numbers are

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 470 are 2 x 5 x 47

Prime factors of 490 are 2 x 5 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 918, 920, 470, 490 is 2.

Given numbers are 918, 920, 470, 490

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

Apply this formula for all numbers.

Step1:

LCM(918, 920) = 422280

GCD(918, 920) = ( 918 x 920 ) / 422280

= 918 / 920

= 918

Step2:

LCM(2, 470) = 470

GCD(2, 470) = ( 2 x 470 ) / 470

= 2 / 470

= 2

Step3:

LCM(2, 490) = 490

GCD(2, 490) = ( 2 x 490 ) / 490

= 2 / 490

= 2

So, Greatest Common Divisor of 918, 920, 470, 490 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 889, 605, 984
• GCD of 732, 605, 103, 623
• GCD of 408, 683, 154, 713
• GCD of 951, 380, 220, 698
• GCD of 594, 400, 158, 791

Given numbers are 918, 920, 470, 490
The greatest common divisor of numbers 918, 920, 470, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 920, 470, 490 is 2.

1. What is the GCD of 918, 920, 470, 490?

GCD of given numbers 918, 920, 470, 490 is 2

2. How to calculate the greatest common divisor of 918, 920, 470, 490?

We can find the highest common divisor of 918, 920, 470, 490 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 918, 920, 470, 490 i.e 2.

3. How can I use the GCD of 918, 920, 470, 490Calculator?

Out the numbers 918, 920, 470, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.