GCD of 470, 816, 976, 674 Calculator

Given Input numbers are 470, 816, 976, 674

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

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

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 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

GCD of numbers is the greatest common divisor

So, the GCD (470, 816, 976, 674) = 2.

Given numbers are 470, 816, 976, 674

The list of prime factors of all numbers are

Prime factors of 470 are 2 x 5 x 47

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

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 674 are 2 x 337

The highest common occurrence is 2¹

Therefore, GCD of 470, 816, 976, 674 is 2.

Given numbers are 470, 816, 976, 674

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

Apply this formula for all numbers.

Step1:

LCM(470, 816) = 191760

GCD(470, 816) = ( 470 x 816 ) / 191760

= 470 / 816

= 470

Step2:

LCM(2, 976) = 976

GCD(2, 976) = ( 2 x 976 ) / 976

= 2 / 976

= 2

Step3:

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

= 2 / 674

= 2

So, Greatest Common Divisor of 470, 816, 976, 674 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 432, 421, 630, 345
• GCD of 919, 458, 588, 934
• GCD of 391, 702, 786, 149
• GCD of 629, 923, 827, 306
• GCD of 702, 438, 439, 138

Given numbers are 470, 816, 976, 674
The greatest common divisor of numbers 470, 816, 976, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 816, 976, 674 is 2.

1. What is the GCD of 470, 816, 976, 674?

GCD of given numbers 470, 816, 976, 674 is 2

2. How to calculate the greatest common divisor of 470, 816, 976, 674?

We can find the highest common divisor of 470, 816, 976, 674 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 470, 816, 976, 674 i.e 2.

3. How can I use the GCD of 470, 816, 976, 674Calculator?

Out the numbers 470, 816, 976, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.