GCD of 918, 524, 686, 690 Calculator

Given Input numbers are 918, 524, 686, 690

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

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 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 686 :

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

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

GCD of numbers is the greatest common divisor

So, the GCD (918, 524, 686, 690) = 2.

Given numbers are 918, 524, 686, 690

The list of prime factors of all numbers are

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

Prime factors of 524 are 2 x 2 x 131

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

Prime factors of 690 are 2 x 3 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 918, 524, 686, 690 is 2.

Given numbers are 918, 524, 686, 690

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

Apply this formula for all numbers.

Step1:

LCM(918, 524) = 240516

GCD(918, 524) = ( 918 x 524 ) / 240516

= 918 / 524

= 918

Step2:

LCM(2, 686) = 686

GCD(2, 686) = ( 2 x 686 ) / 686

= 2 / 686

= 2

Step3:

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

= 2 / 690

= 2

So, Greatest Common Divisor of 918, 524, 686, 690 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 886, 901, 232, 783
• GCD of 540, 335, 291, 668
• GCD of 548, 902, 106, 629
• GCD of 508, 715, 183, 159
• GCD of 163, 387, 445, 780

Given numbers are 918, 524, 686, 690
The greatest common divisor of numbers 918, 524, 686, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 524, 686, 690 is 2.

1. What is the GCD of 918, 524, 686, 690?

GCD of given numbers 918, 524, 686, 690 is 2

2. How to calculate the greatest common divisor of 918, 524, 686, 690?

We can find the highest common divisor of 918, 524, 686, 690 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 918, 524, 686, 690 i.e 2.

3. How can I use the GCD of 918, 524, 686, 690Calculator?

Out the numbers 918, 524, 686, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.