GCD of 686, 562, 836, 918 Calculator

Given Input numbers are 686, 562, 836, 918

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

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

Divisors of 836 :

The positive integer divisors of 836 that completely divides 836 are.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

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 (686, 562, 836, 918) = 2.

Given numbers are 686, 562, 836, 918

The list of prime factors of all numbers are

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 562 are 2 x 281

Prime factors of 836 are 2 x 2 x 11 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 686, 562, 836, 918 is 2.

Given numbers are 686, 562, 836, 918

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

Apply this formula for all numbers.

Step1:

LCM(686, 562) = 192766

GCD(686, 562) = ( 686 x 562 ) / 192766

= 686 / 562

= 686

Step2:

LCM(2, 836) = 836

GCD(2, 836) = ( 2 x 836 ) / 836

= 2 / 836

= 2

Step3:

LCM(2, 918) = 918

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

= 2 / 918

= 2

So, Greatest Common Divisor of 686, 562, 836, 918 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 309, 494, 790, 408
• GCD of 801, 297, 830, 929
• GCD of 555, 277, 656, 614
• GCD of 125, 612, 490, 641
• GCD of 263, 931, 578, 925

Given numbers are 686, 562, 836, 918
The greatest common divisor of numbers 686, 562, 836, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 562, 836, 918 is 2.

1. What is the GCD of 686, 562, 836, 918?

GCD of given numbers 686, 562, 836, 918 is 2

2. How to calculate the greatest common divisor of 686, 562, 836, 918?

We can find the highest common divisor of 686, 562, 836, 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 686, 562, 836, 918 i.e 2.

3. How can I use the GCD of 686, 562, 836, 918Calculator?

Out the numbers 686, 562, 836, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.