GCD of 680, 346, 272, 162 Calculator

Given Input numbers are 680, 346, 272, 162

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

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 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

GCD of numbers is the greatest common divisor

So, the GCD (680, 346, 272, 162) = 2.

Given numbers are 680, 346, 272, 162

The list of prime factors of all numbers are

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

Prime factors of 346 are 2 x 173

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 680, 346, 272, 162 is 2.

Given numbers are 680, 346, 272, 162

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

Apply this formula for all numbers.

Step1:

LCM(680, 346) = 117640

GCD(680, 346) = ( 680 x 346 ) / 117640

= 680 / 346

= 680

Step2:

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

= 2 / 272

= 2

Step3:

LCM(2, 162) = 162

GCD(2, 162) = ( 2 x 162 ) / 162

= 2 / 162

= 2

So, Greatest Common Divisor of 680, 346, 272, 162 is 2

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• GCD of 205, 117, 318, 988
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Given numbers are 680, 346, 272, 162
The greatest common divisor of numbers 680, 346, 272, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 346, 272, 162 is 2.

1. What is the GCD of 680, 346, 272, 162?

GCD of given numbers 680, 346, 272, 162 is 2

2. How to calculate the greatest common divisor of 680, 346, 272, 162?

We can find the highest common divisor of 680, 346, 272, 162 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 680, 346, 272, 162 i.e 2.

3. How can I use the GCD of 680, 346, 272, 162Calculator?

Out the numbers 680, 346, 272, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.