GCD of 348, 147, 70, 653 Calculator

Given Input numbers are 348, 147, 70, 653

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

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

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 348, 147, 70, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 147, 70, 653 is 1.

Therefore, GCD of numbers 348, 147, 70, 653 is 1

Given Input Data is 348, 147, 70, 653

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 70 is 2 x 5 x 7

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(348, 147) = 17052

GCD(348, 147) = ( 348 x 147 ) / 17052

GCD(348, 147) = 51156 / 17052

GCD(348, 147) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 70

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

LCM(3, 70) = 210

GCD(3, 70) = ( 3 x 70 ) / 210

GCD(3, 70) = 210 / 210

GCD(3, 70) = 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 348, 147, 70, 653 is 1

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• GCD of 795, 332, 56, 533
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1. What is the GCD of 348, 147, 70, 653?

GCD of 348, 147, 70, 653 is 1

2. Where do I get the detailed procedure to find GCD of 348, 147, 70, 653?

You can find a detailed procedure to find GCD of 348, 147, 70, 653 on our page.

3. How to find GCD of 348, 147, 70, 653 on a calculator?

You can find the GCD of 348, 147, 70, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.