GCD of 180, 838, 694, 182 Calculator

Given Input numbers are 180, 838, 694, 182

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

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 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

GCD of numbers is the greatest common divisor

So, the GCD (180, 838, 694, 182) = 2.

Given numbers are 180, 838, 694, 182

The list of prime factors of all numbers are

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

Prime factors of 838 are 2 x 419

Prime factors of 694 are 2 x 347

Prime factors of 182 are 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 180, 838, 694, 182 is 2.

Given numbers are 180, 838, 694, 182

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

Apply this formula for all numbers.

Step1:

LCM(180, 838) = 75420

GCD(180, 838) = ( 180 x 838 ) / 75420

= 180 / 838

= 180

Step2:

LCM(2, 694) = 694

GCD(2, 694) = ( 2 x 694 ) / 694

= 2 / 694

= 2

Step3:

LCM(2, 182) = 182

GCD(2, 182) = ( 2 x 182 ) / 182

= 2 / 182

= 2

So, Greatest Common Divisor of 180, 838, 694, 182 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 523, 380, 707, 442
• GCD of 329, 281, 318, 318
• GCD of 107, 932, 176, 132
• GCD of 926, 644, 931, 948
• GCD of 520, 832, 367, 594

Given numbers are 180, 838, 694, 182
The greatest common divisor of numbers 180, 838, 694, 182 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 838, 694, 182 is 2.

1. What is the GCD of 180, 838, 694, 182?

GCD of given numbers 180, 838, 694, 182 is 2

2. How to calculate the greatest common divisor of 180, 838, 694, 182?

We can find the highest common divisor of 180, 838, 694, 182 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 180, 838, 694, 182 i.e 2.

3. How can I use the GCD of 180, 838, 694, 182Calculator?

Out the numbers 180, 838, 694, 182 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.