GCD of 208, 134, 748, 822 Calculator

Given Input numbers are 208, 134, 748, 822

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 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

GCD of numbers is the greatest common divisor

So, the GCD (208, 134, 748, 822) = 2.

Given numbers are 208, 134, 748, 822

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 134 are 2 x 67

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 822 are 2 x 3 x 137

The highest common occurrence is 2¹

Therefore, GCD of 208, 134, 748, 822 is 2.

Given numbers are 208, 134, 748, 822

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

Apply this formula for all numbers.

Step1:

LCM(208, 134) = 13936

GCD(208, 134) = ( 208 x 134 ) / 13936

= 208 / 134

= 208

Step2:

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

= 2 / 748

= 2

Step3:

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

= 2 / 822

= 2

So, Greatest Common Divisor of 208, 134, 748, 822 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 394, 228, 190, 370
• GCD of 451, 140, 610, 665
• GCD of 876, 380, 159, 518
• GCD of 851, 833, 916, 532
• GCD of 814, 561, 963, 534

Given numbers are 208, 134, 748, 822
The greatest common divisor of numbers 208, 134, 748, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 134, 748, 822 is 2.

1. What is the GCD of 208, 134, 748, 822?

GCD of given numbers 208, 134, 748, 822 is 2

2. How to calculate the greatest common divisor of 208, 134, 748, 822?

We can find the highest common divisor of 208, 134, 748, 822 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, 134, 748, 822 i.e 2.

3. How can I use the GCD of 208, 134, 748, 822Calculator?

Out the numbers 208, 134, 748, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.