GCD of 816, 452, 704, 374 Calculator

Given Input numbers are 816, 452, 704, 374

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 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

GCD of numbers is the greatest common divisor

So, the GCD (816, 452, 704, 374) = 2.

Given numbers are 816, 452, 704, 374

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 452 are 2 x 2 x 113

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 374 are 2 x 11 x 17

The highest common occurrence is 2¹

Therefore, GCD of 816, 452, 704, 374 is 2.

Given numbers are 816, 452, 704, 374

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

Apply this formula for all numbers.

Step1:

LCM(816, 452) = 92208

GCD(816, 452) = ( 816 x 452 ) / 92208

= 816 / 452

= 816

Step2:

LCM(4, 704) = 704

GCD(4, 704) = ( 4 x 704 ) / 704

= 4 / 704

= 4

Step3:

LCM(4, 374) = 748

GCD(4, 374) = ( 4 x 374 ) / 748

= 4 / 374

= 4

So, Greatest Common Divisor of 816, 452, 704, 374 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 541, 942, 473, 275
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Given numbers are 816, 452, 704, 374
The greatest common divisor of numbers 816, 452, 704, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 452, 704, 374 is 2.

1. What is the GCD of 816, 452, 704, 374?

GCD of given numbers 816, 452, 704, 374 is 2

2. How to calculate the greatest common divisor of 816, 452, 704, 374?

We can find the highest common divisor of 816, 452, 704, 374 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, 452, 704, 374 i.e 2.

3. How can I use the GCD of 816, 452, 704, 374Calculator?

Out the numbers 816, 452, 704, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.