GCD of 846, 814, 746, 918 Calculator

Given Input numbers are 846, 814, 746, 918

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

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 814 :

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

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

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

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

GCD of numbers is the greatest common divisor

So, the GCD (846, 814, 746, 918) = 2.

Given numbers are 846, 814, 746, 918

The list of prime factors of all numbers are

Prime factors of 846 are 2 x 3 x 3 x 47

Prime factors of 814 are 2 x 11 x 37

Prime factors of 746 are 2 x 373

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

The highest common occurrence is 2¹

Therefore, GCD of 846, 814, 746, 918 is 2.

Given numbers are 846, 814, 746, 918

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

Apply this formula for all numbers.

Step1:

LCM(846, 814) = 344322

GCD(846, 814) = ( 846 x 814 ) / 344322

= 846 / 814

= 846

Step2:

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

= 2 / 746

= 2

Step3:

LCM(2, 918) = 918

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

= 2 / 918

= 2

So, Greatest Common Divisor of 846, 814, 746, 918 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 684, 470, 872, 553
• GCD of 623, 219, 332, 780
• GCD of 546, 134, 311, 156
• GCD of 102, 770, 170, 906
• GCD of 109, 679, 312, 420

Given numbers are 846, 814, 746, 918
The greatest common divisor of numbers 846, 814, 746, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 846, 814, 746, 918 is 2.

1. What is the GCD of 846, 814, 746, 918?

GCD of given numbers 846, 814, 746, 918 is 2

2. How to calculate the greatest common divisor of 846, 814, 746, 918?

We can find the highest common divisor of 846, 814, 746, 918 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 846, 814, 746, 918 i.e 2.

3. How can I use the GCD of 846, 814, 746, 918Calculator?

Out the numbers 846, 814, 746, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.