GCD of 816, 688, 276, 749 Calculator

Given Input numbers are 816, 688, 276, 749

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

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (816, 688, 276, 749) = 1.

Given numbers are 816, 688, 276, 749

The list of prime factors of all numbers are

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 749 are 7 x 107

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 816, 688, 276, 749

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

Apply this formula for all numbers.

Step1:

LCM(816, 688) = 35088

GCD(816, 688) = ( 816 x 688 ) / 35088

= 816 / 688

= 816

Step2:

LCM(16, 276) = 1104

GCD(16, 276) = ( 16 x 276 ) / 1104

= 16 / 276

= 16

Step3:

LCM(4, 749) = 2996

GCD(4, 749) = ( 4 x 749 ) / 2996

= 4 / 749

= 4

So, Greatest Common Divisor of 816, 688, 276, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 974, 506, 360, 688
• GCD of 675, 324, 442, 360
• GCD of 183, 811, 233, 885
• GCD of 552, 855, 470, 600
• GCD of 862, 396, 817, 706

Given numbers are 816, 688, 276, 749
The greatest common divisor of numbers 816, 688, 276, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 688, 276, 749 is 1.

1. What is the GCD of 816, 688, 276, 749?

GCD of given numbers 816, 688, 276, 749 is 1

2. How to calculate the greatest common divisor of 816, 688, 276, 749?

We can find the highest common divisor of 816, 688, 276, 749 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 816, 688, 276, 749 i.e 1.

3. How can I use the GCD of 816, 688, 276, 749Calculator?

Out the numbers 816, 688, 276, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.