GCD of 208, 488, 476, 770 Calculator

Given Input numbers are 208, 488, 476, 770

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

GCD of numbers is the greatest common divisor

So, the GCD (208, 488, 476, 770) = 2.

Given numbers are 208, 488, 476, 770

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 770 are 2 x 5 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 208, 488, 476, 770 is 2.

Given numbers are 208, 488, 476, 770

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

Apply this formula for all numbers.

Step1:

LCM(208, 488) = 12688

GCD(208, 488) = ( 208 x 488 ) / 12688

= 208 / 488

= 208

Step2:

LCM(8, 476) = 952

GCD(8, 476) = ( 8 x 476 ) / 952

= 8 / 476

= 8

Step3:

LCM(4, 770) = 1540

GCD(4, 770) = ( 4 x 770 ) / 1540

= 4 / 770

= 4

So, Greatest Common Divisor of 208, 488, 476, 770 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 584, 759, 975, 173
• GCD of 208, 962, 267, 364
• GCD of 541, 366, 205, 214
• GCD of 555, 600, 348, 560
• GCD of 304, 906, 531, 555

Given numbers are 208, 488, 476, 770
The greatest common divisor of numbers 208, 488, 476, 770 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 488, 476, 770 is 2.

1. What is the GCD of 208, 488, 476, 770?

GCD of given numbers 208, 488, 476, 770 is 2

2. How to calculate the greatest common divisor of 208, 488, 476, 770?

We can find the highest common divisor of 208, 488, 476, 770 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 208, 488, 476, 770 i.e 2.

3. How can I use the GCD of 208, 488, 476, 770Calculator?

Out the numbers 208, 488, 476, 770 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.