GCD of 672, 308, 646, 460 Calculator

Given Input numbers are 672, 308, 646, 460

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

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

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 646 :

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

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

GCD of numbers is the greatest common divisor

So, the GCD (672, 308, 646, 460) = 2.

Given numbers are 672, 308, 646, 460

The list of prime factors of all numbers are

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

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 646 are 2 x 17 x 19

Prime factors of 460 are 2 x 2 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 672, 308, 646, 460 is 2.

Given numbers are 672, 308, 646, 460

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

Apply this formula for all numbers.

Step1:

LCM(672, 308) = 7392

GCD(672, 308) = ( 672 x 308 ) / 7392

= 672 / 308

= 672

Step2:

LCM(28, 646) = 9044

GCD(28, 646) = ( 28 x 646 ) / 9044

= 28 / 646

= 28

Step3:

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

= 2 / 460

= 2

So, Greatest Common Divisor of 672, 308, 646, 460 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 283, 800, 340, 948
• GCD of 914, 235, 496, 189
• GCD of 810, 658, 294, 597
• GCD of 941, 567, 545, 447
• GCD of 657, 840, 599, 327

Given numbers are 672, 308, 646, 460
The greatest common divisor of numbers 672, 308, 646, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 308, 646, 460 is 2.

1. What is the GCD of 672, 308, 646, 460?

GCD of given numbers 672, 308, 646, 460 is 2

2. How to calculate the greatest common divisor of 672, 308, 646, 460?

We can find the highest common divisor of 672, 308, 646, 460 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 672, 308, 646, 460 i.e 2.

3. How can I use the GCD of 672, 308, 646, 460Calculator?

Out the numbers 672, 308, 646, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.