GCD of 322, 680, 918, 140 Calculator

Given Input numbers are 322, 680, 918, 140

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

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

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 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

GCD of numbers is the greatest common divisor

So, the GCD (322, 680, 918, 140) = 2.

Given numbers are 322, 680, 918, 140

The list of prime factors of all numbers are

Prime factors of 322 are 2 x 7 x 23

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

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

Prime factors of 140 are 2 x 2 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 322, 680, 918, 140 is 2.

Given numbers are 322, 680, 918, 140

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

Apply this formula for all numbers.

Step1:

LCM(322, 680) = 109480

GCD(322, 680) = ( 322 x 680 ) / 109480

= 322 / 680

= 322

Step2:

LCM(2, 918) = 918

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

= 2 / 918

= 2

Step3:

LCM(2, 140) = 140

GCD(2, 140) = ( 2 x 140 ) / 140

= 2 / 140

= 2

So, Greatest Common Divisor of 322, 680, 918, 140 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 140, 667, 327, 964
• GCD of 324, 309, 649, 900
• GCD of 675, 916, 518, 912
• GCD of 394, 284, 820, 879
• GCD of 197, 491, 820, 737

Given numbers are 322, 680, 918, 140
The greatest common divisor of numbers 322, 680, 918, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 322, 680, 918, 140 is 2.

1. What is the GCD of 322, 680, 918, 140?

GCD of given numbers 322, 680, 918, 140 is 2

2. How to calculate the greatest common divisor of 322, 680, 918, 140?

We can find the highest common divisor of 322, 680, 918, 140 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 322, 680, 918, 140 i.e 2.

3. How can I use the GCD of 322, 680, 918, 140Calculator?

Out the numbers 322, 680, 918, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.