GCD of 338, 101, 300, 182 Calculator

Given Input numbers are 338, 101, 300, 182

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

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 101 :

The positive integer divisors of 101 that completely divides 101 are.

1, 101

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

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 (338, 101, 300, 182) = 1.

Given numbers are 338, 101, 300, 182

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 101 are 101

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 182 are 2 x 7 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 338, 101, 300, 182

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

Apply this formula for all numbers.

Step1:

LCM(338, 101) = 34138

GCD(338, 101) = ( 338 x 101 ) / 34138

= 338 / 101

= 338

Step2:

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

= 1 / 300

= 1

Step3:

LCM(1, 182) = 182

GCD(1, 182) = ( 1 x 182 ) / 182

= 1 / 182

= 1

So, Greatest Common Divisor of 338, 101, 300, 182 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 593, 737, 495, 807
• GCD of 483, 212, 268, 962
• GCD of 829, 568, 268, 225
• GCD of 962, 851, 153, 197
• GCD of 515, 326, 623, 884

Given numbers are 338, 101, 300, 182
The greatest common divisor of numbers 338, 101, 300, 182 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 101, 300, 182 is 1.

1. What is the GCD of 338, 101, 300, 182?

GCD of given numbers 338, 101, 300, 182 is 1

2. How to calculate the greatest common divisor of 338, 101, 300, 182?

We can find the highest common divisor of 338, 101, 300, 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 338, 101, 300, 182 i.e 1.

3. How can I use the GCD of 338, 101, 300, 182Calculator?

Out the numbers 338, 101, 300, 182 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.