GCD of 914, 994, 646, 672 Calculator

Given Input numbers are 914, 994, 646, 672

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

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

GCD of numbers is the greatest common divisor

So, the GCD (914, 994, 646, 672) = 2.

Given numbers are 914, 994, 646, 672

The list of prime factors of all numbers are

Prime factors of 914 are 2 x 457

Prime factors of 994 are 2 x 7 x 71

Prime factors of 646 are 2 x 17 x 19

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 914, 994, 646, 672 is 2.

Given numbers are 914, 994, 646, 672

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

Apply this formula for all numbers.

Step1:

LCM(914, 994) = 454258

GCD(914, 994) = ( 914 x 994 ) / 454258

= 914 / 994

= 914

Step2:

LCM(2, 646) = 646

GCD(2, 646) = ( 2 x 646 ) / 646

= 2 / 646

= 2

Step3:

LCM(2, 672) = 672

GCD(2, 672) = ( 2 x 672 ) / 672

= 2 / 672

= 2

So, Greatest Common Divisor of 914, 994, 646, 672 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 411, 881, 933, 209
• GCD of 638, 214, 450, 418
• GCD of 348, 165, 213, 687
• GCD of 242, 645, 689, 720
• GCD of 210, 248, 741, 272

Given numbers are 914, 994, 646, 672
The greatest common divisor of numbers 914, 994, 646, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 914, 994, 646, 672 is 2.

1. What is the GCD of 914, 994, 646, 672?

GCD of given numbers 914, 994, 646, 672 is 2

2. How to calculate the greatest common divisor of 914, 994, 646, 672?

We can find the highest common divisor of 914, 994, 646, 672 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 914, 994, 646, 672 i.e 2.

3. How can I use the GCD of 914, 994, 646, 672Calculator?

Out the numbers 914, 994, 646, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.