GCD of 698, 371, 60, 949 Calculator

Given Input numbers are 698, 371, 60, 949

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

Divisors of 698

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

1, 2, 349, 698

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 698, 371, 60, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 371, 60, 949 is 1.

Therefore, GCD of numbers 698, 371, 60, 949 is 1

Given Input Data is 698, 371, 60, 949

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 371 is 7 x 53

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 949 is 13 x 73

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(698, 371) = 258958

GCD(698, 371) = ( 698 x 371 ) / 258958

GCD(698, 371) = 258958 / 258958

GCD(698, 371) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

GCD of 698, 371, 60, 949 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 316, 851, 28, 160
• GCD of 879, 304, 41, 389
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• GCD of 812, 743, 72, 121
• GCD of 177, 840, 60, 611

1. What is the GCD of 698, 371, 60, 949?

GCD of 698, 371, 60, 949 is 1

2. Where do I get the detailed procedure to find GCD of 698, 371, 60, 949?

You can find a detailed procedure to find GCD of 698, 371, 60, 949 on our page.

3. How to find GCD of 698, 371, 60, 949 on a calculator?

You can find the GCD of 698, 371, 60, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.