GCD of 948, 340, 698, 603 Calculator

Given Input numbers are 948, 340, 698, 603

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

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 603

List of positive integer divisors of 603 that divides 603 without a remainder.

1, 3, 9, 67, 201, 603

Greatest Common Divisior

We found the divisors of 948, 340, 698, 603 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 340, 698, 603 is 1.

Therefore, GCD of numbers 948, 340, 698, 603 is 1

Given Input Data is 948, 340, 698, 603

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

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 698 is 2 x 349

Prime Factorization of 603 is 3 x 3 x 67

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(948, 340) = 80580

GCD(948, 340) = ( 948 x 340 ) / 80580

GCD(948, 340) = 322320 / 80580

GCD(948, 340) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 698

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

LCM(4, 698) = 1396

GCD(4, 698) = ( 4 x 698 ) / 1396

GCD(4, 698) = 2792 / 1396

GCD(4, 698) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 603

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

LCM(2, 603) = 1206

GCD(2, 603) = ( 2 x 603 ) / 1206

GCD(2, 603) = 1206 / 1206

GCD(2, 603) = 1

GCD of 948, 340, 698, 603 is 1

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1. What is the GCD of 948, 340, 698, 603?

GCD of 948, 340, 698, 603 is 1

2. Where do I get the detailed procedure to find GCD of 948, 340, 698, 603?

You can find a detailed procedure to find GCD of 948, 340, 698, 603 on our page.

3. How to find GCD of 948, 340, 698, 603 on a calculator?

You can find the GCD of 948, 340, 698, 603 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.