GCD of 682, 308, 180, 236 Calculator

Given Input numbers are 682, 308, 180, 236

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

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 236 :

The positive integer divisors of 236 that completely divides 236 are.

1, 2, 4, 59, 118, 236

GCD of numbers is the greatest common divisor

So, the GCD (682, 308, 180, 236) = 2.

Given numbers are 682, 308, 180, 236

The list of prime factors of all numbers are

Prime factors of 682 are 2 x 11 x 31

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 236 are 2 x 2 x 59

The highest common occurrence is 2¹

Therefore, GCD of 682, 308, 180, 236 is 2.

Given numbers are 682, 308, 180, 236

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

Apply this formula for all numbers.

Step1:

LCM(682, 308) = 9548

GCD(682, 308) = ( 682 x 308 ) / 9548

= 682 / 308

= 682

Step2:

LCM(22, 180) = 1980

GCD(22, 180) = ( 22 x 180 ) / 1980

= 22 / 180

= 22

Step3:

LCM(2, 236) = 236

GCD(2, 236) = ( 2 x 236 ) / 236

= 2 / 236

= 2

So, Greatest Common Divisor of 682, 308, 180, 236 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 784, 604, 821, 828
• GCD of 557, 495, 368, 736
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• GCD of 308, 699, 169, 593
• GCD of 470, 422, 814, 783

Given numbers are 682, 308, 180, 236
The greatest common divisor of numbers 682, 308, 180, 236 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 308, 180, 236 is 2.

1. What is the GCD of 682, 308, 180, 236?

GCD of given numbers 682, 308, 180, 236 is 2

2. How to calculate the greatest common divisor of 682, 308, 180, 236?

We can find the highest common divisor of 682, 308, 180, 236 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 682, 308, 180, 236 i.e 2.

3. How can I use the GCD of 682, 308, 180, 236Calculator?

Out the numbers 682, 308, 180, 236 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.