GCD of 104, 404, 460, 766 Calculator

Given Input numbers are 104, 404, 460, 766

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

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

GCD of numbers is the greatest common divisor

So, the GCD (104, 404, 460, 766) = 2.

Given numbers are 104, 404, 460, 766

The list of prime factors of all numbers are

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 404 are 2 x 2 x 101

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 766 are 2 x 383

The highest common occurrence is 2¹

Therefore, GCD of 104, 404, 460, 766 is 2.

Given numbers are 104, 404, 460, 766

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

Apply this formula for all numbers.

Step1:

LCM(104, 404) = 10504

GCD(104, 404) = ( 104 x 404 ) / 10504

= 104 / 404

= 104

Step2:

LCM(4, 460) = 460

GCD(4, 460) = ( 4 x 460 ) / 460

= 4 / 460

= 4

Step3:

LCM(4, 766) = 1532

GCD(4, 766) = ( 4 x 766 ) / 1532

= 4 / 766

= 4

So, Greatest Common Divisor of 104, 404, 460, 766 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 532, 188, 273, 160
• GCD of 617, 814, 980, 242
• GCD of 633, 395, 794, 862
• GCD of 945, 326, 356, 130
• GCD of 496, 482, 648, 853

Given numbers are 104, 404, 460, 766
The greatest common divisor of numbers 104, 404, 460, 766 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 404, 460, 766 is 2.

1. What is the GCD of 104, 404, 460, 766?

GCD of given numbers 104, 404, 460, 766 is 2

2. How to calculate the greatest common divisor of 104, 404, 460, 766?

We can find the highest common divisor of 104, 404, 460, 766 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 104, 404, 460, 766 i.e 2.

3. How can I use the GCD of 104, 404, 460, 766Calculator?

Out the numbers 104, 404, 460, 766 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.