GCD of 349, 120, 402, 653 Calculator

Given Input numbers are 349, 120, 402, 653

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Greatest Common Divisior

We found the divisors of 349, 120, 402, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 120, 402, 653 is 1.

Therefore, GCD of numbers 349, 120, 402, 653 is 1

Given Input Data is 349, 120, 402, 653

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

Prime Factorization of 349 is 349

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 653 is 653

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(349, 120) = 41880

GCD(349, 120) = ( 349 x 120 ) / 41880

GCD(349, 120) = 41880 / 41880

GCD(349, 120) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 653

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

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

GCD(1, 653) = 653 / 653

GCD(1, 653) = 1

GCD of 349, 120, 402, 653 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 571, 460, 637, 600
• GCD of 727, 895, 964, 347
• GCD of 347, 550, 260, 165
• GCD of 884, 594, 641, 633
• GCD of 166, 966, 177, 765

1. What is the GCD of 349, 120, 402, 653?

GCD of 349, 120, 402, 653 is 1

2. Where do I get the detailed procedure to find GCD of 349, 120, 402, 653?

You can find a detailed procedure to find GCD of 349, 120, 402, 653 on our page.

3. How to find GCD of 349, 120, 402, 653 on a calculator?

You can find the GCD of 349, 120, 402, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.