GCD of 918, 686, 340, 870 Calculator

Given Input numbers are 918, 686, 340, 870

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 686 :

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

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

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

GCD of numbers is the greatest common divisor

So, the GCD (918, 686, 340, 870) = 2.

Given numbers are 918, 686, 340, 870

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 686 are 2 x 7 x 7 x 7

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 870 are 2 x 3 x 5 x 29

The highest common occurrence is 2¹

Therefore, GCD of 918, 686, 340, 870 is 2.

Given numbers are 918, 686, 340, 870

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

Apply this formula for all numbers.

Step1:

LCM(918, 686) = 314874

GCD(918, 686) = ( 918 x 686 ) / 314874

= 918 / 686

= 918

Step2:

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

= 2 / 340

= 2

Step3:

LCM(2, 870) = 870

GCD(2, 870) = ( 2 x 870 ) / 870

= 2 / 870

= 2

So, Greatest Common Divisor of 918, 686, 340, 870 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 243, 889, 106, 731
• GCD of 781, 484, 608, 643
• GCD of 890, 597, 676, 594
• GCD of 735, 150, 618, 639
• GCD of 524, 697, 894, 852

Given numbers are 918, 686, 340, 870
The greatest common divisor of numbers 918, 686, 340, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 686, 340, 870 is 2.

1. What is the GCD of 918, 686, 340, 870?

GCD of given numbers 918, 686, 340, 870 is 2

2. How to calculate the greatest common divisor of 918, 686, 340, 870?

We can find the highest common divisor of 918, 686, 340, 870 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, 686, 340, 870 i.e 2.

3. How can I use the GCD of 918, 686, 340, 870Calculator?

Out the numbers 918, 686, 340, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.