GCD of 338, 310, 114, 202 Calculator

Given Input numbers are 338, 310, 114, 202

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 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

GCD of numbers is the greatest common divisor

So, the GCD (338, 310, 114, 202) = 2.

Given numbers are 338, 310, 114, 202

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 310 are 2 x 5 x 31

Prime factors of 114 are 2 x 3 x 19

Prime factors of 202 are 2 x 101

The highest common occurrence is 2¹

Therefore, GCD of 338, 310, 114, 202 is 2.

Given numbers are 338, 310, 114, 202

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

Apply this formula for all numbers.

Step1:

LCM(338, 310) = 52390

GCD(338, 310) = ( 338 x 310 ) / 52390

= 338 / 310

= 338

Step2:

LCM(2, 114) = 114

GCD(2, 114) = ( 2 x 114 ) / 114

= 2 / 114

= 2

Step3:

LCM(2, 202) = 202

GCD(2, 202) = ( 2 x 202 ) / 202

= 2 / 202

= 2

So, Greatest Common Divisor of 338, 310, 114, 202 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 153, 931, 293, 162
• GCD of 430, 878, 970, 505
• GCD of 571, 585, 665, 150
• GCD of 306, 252, 749, 463
• GCD of 153, 416, 659, 399

Given numbers are 338, 310, 114, 202
The greatest common divisor of numbers 338, 310, 114, 202 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 310, 114, 202 is 2.

1. What is the GCD of 338, 310, 114, 202?

GCD of given numbers 338, 310, 114, 202 is 2

2. How to calculate the greatest common divisor of 338, 310, 114, 202?

We can find the highest common divisor of 338, 310, 114, 202 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, 310, 114, 202 i.e 2.

3. How can I use the GCD of 338, 310, 114, 202Calculator?

Out the numbers 338, 310, 114, 202 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.