GCD of 684, 298, 140, 422 Calculator

Given Input numbers are 684, 298, 140, 422

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

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

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

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

GCD of numbers is the greatest common divisor

So, the GCD (684, 298, 140, 422) = 2.

Given numbers are 684, 298, 140, 422

The list of prime factors of all numbers are

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 298 are 2 x 149

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

Prime factors of 422 are 2 x 211

The highest common occurrence is 2¹

Therefore, GCD of 684, 298, 140, 422 is 2.

Given numbers are 684, 298, 140, 422

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

Apply this formula for all numbers.

Step1:

LCM(684, 298) = 101916

GCD(684, 298) = ( 684 x 298 ) / 101916

= 684 / 298

= 684

Step2:

LCM(2, 140) = 140

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

= 2 / 140

= 2

Step3:

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

= 2 / 422

= 2

So, Greatest Common Divisor of 684, 298, 140, 422 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 590, 420, 436, 252
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• GCD of 414, 193, 886, 636
• GCD of 976, 785, 842, 338
• GCD of 489, 949, 790, 274

Given numbers are 684, 298, 140, 422
The greatest common divisor of numbers 684, 298, 140, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 298, 140, 422 is 2.

1. What is the GCD of 684, 298, 140, 422?

GCD of given numbers 684, 298, 140, 422 is 2

2. How to calculate the greatest common divisor of 684, 298, 140, 422?

We can find the highest common divisor of 684, 298, 140, 422 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 684, 298, 140, 422 i.e 2.

3. How can I use the GCD of 684, 298, 140, 422Calculator?

Out the numbers 684, 298, 140, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.