GCD of 601, 700, 614, 954 Calculator

Given Input numbers are 601, 700, 614, 954

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

Divisors of 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Greatest Common Divisior

We found the divisors of 601, 700, 614, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 601, 700, 614, 954 is 1.

Therefore, GCD of numbers 601, 700, 614, 954 is 1

Given Input Data is 601, 700, 614, 954

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

Prime Factorization of 601 is 601

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 614 is 2 x 307

Prime Factorization of 954 is 2 x 3 x 3 x 53

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(601, 700) = 420700

GCD(601, 700) = ( 601 x 700 ) / 420700

GCD(601, 700) = 420700 / 420700

GCD(601, 700) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 614

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

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

GCD(1, 614) = 614 / 614

GCD(1, 614) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 954

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

LCM(1, 954) = 954

GCD(1, 954) = ( 1 x 954 ) / 954

GCD(1, 954) = 954 / 954

GCD(1, 954) = 1

GCD of 601, 700, 614, 954 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 741, 805, 366, 301
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• GCD of 437, 922, 750, 397

1. What is the GCD of 601, 700, 614, 954?

GCD of 601, 700, 614, 954 is 1

2. Where do I get the detailed procedure to find GCD of 601, 700, 614, 954?

You can find a detailed procedure to find GCD of 601, 700, 614, 954 on our page.

3. How to find GCD of 601, 700, 614, 954 on a calculator?

You can find the GCD of 601, 700, 614, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.