GCD of 914, 373, 67, 342 Calculator

Given Input numbers are 914, 373, 67, 342

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 373

List of positive integer divisors of 373 that divides 373 without a remainder.

1, 373

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 914, 373, 67, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 373, 67, 342 is 1.

Therefore, GCD of numbers 914, 373, 67, 342 is 1

Given Input Data is 914, 373, 67, 342

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 914 is 2 x 457

Prime Factorization of 373 is 373

Prime Factorization of 67 is 67

Prime Factorization of 342 is 2 x 3 x 3 x 19

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(914, 373) = 340922

GCD(914, 373) = ( 914 x 373 ) / 340922

GCD(914, 373) = 340922 / 340922

GCD(914, 373) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 914, 373, 67, 342 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 668, 832, 46, 447
• GCD of 234, 287, 12, 355
• GCD of 288, 377, 21, 860
• GCD of 178, 709, 28, 962
• GCD of 454, 571, 28, 997

1. What is the GCD of 914, 373, 67, 342?

GCD of 914, 373, 67, 342 is 1

2. Where do I get the detailed procedure to find GCD of 914, 373, 67, 342?

You can find a detailed procedure to find GCD of 914, 373, 67, 342 on our page.

3. How to find GCD of 914, 373, 67, 342 on a calculator?

You can find the GCD of 914, 373, 67, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.