GCD of 672, 814, 918, 164 Calculator

Given Input numbers are 672, 814, 918, 164

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 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

GCD of numbers is the greatest common divisor

So, the GCD (672, 814, 918, 164) = 2.

Given numbers are 672, 814, 918, 164

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 814 are 2 x 11 x 37

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 164 are 2 x 2 x 41

The highest common occurrence is 2¹

Therefore, GCD of 672, 814, 918, 164 is 2.

Given numbers are 672, 814, 918, 164

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

Apply this formula for all numbers.

Step1:

LCM(672, 814) = 273504

GCD(672, 814) = ( 672 x 814 ) / 273504

= 672 / 814

= 672

Step2:

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

= 2 / 918

= 2

Step3:

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

= 2 / 164

= 2

So, Greatest Common Divisor of 672, 814, 918, 164 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 740, 883, 309, 916
• GCD of 164, 145, 948, 246
• GCD of 174, 325, 898, 456
• GCD of 391, 960, 185, 801
• GCD of 738, 352, 806, 102

Given numbers are 672, 814, 918, 164
The greatest common divisor of numbers 672, 814, 918, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 814, 918, 164 is 2.

1. What is the GCD of 672, 814, 918, 164?

GCD of given numbers 672, 814, 918, 164 is 2

2. How to calculate the greatest common divisor of 672, 814, 918, 164?

We can find the highest common divisor of 672, 814, 918, 164 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, 814, 918, 164 i.e 2.

3. How can I use the GCD of 672, 814, 918, 164Calculator?

Out the numbers 672, 814, 918, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.