GCD of 840, 504, 35, 953 Calculator

Given Input numbers are 840, 504, 35, 953

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

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Greatest Common Divisior

We found the divisors of 840, 504, 35, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 504, 35, 953 is 1.

Therefore, GCD of numbers 840, 504, 35, 953 is 1

Given Input Data is 840, 504, 35, 953

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

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 35 is 5 x 7

Prime Factorization of 953 is 953

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(840, 504) = 2520

GCD(840, 504) = ( 840 x 504 ) / 2520

GCD(840, 504) = 423360 / 2520

GCD(840, 504) = 168

Step2:

Here we consider the GCD from the above i.e. 168 as first number and the next as 35

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

LCM(168, 35) = 840

GCD(168, 35) = ( 168 x 35 ) / 840

GCD(168, 35) = 5880 / 840

GCD(168, 35) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 953

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

LCM(7, 953) = 6671

GCD(7, 953) = ( 7 x 953 ) / 6671

GCD(7, 953) = 6671 / 6671

GCD(7, 953) = 1

GCD of 840, 504, 35, 953 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 120, 763, 92, 124
• GCD of 361, 206, 85, 188
• GCD of 556, 641, 72, 774
• GCD of 970, 118, 61, 166
• GCD of 698, 378, 53, 732

1. What is the GCD of 840, 504, 35, 953?

GCD of 840, 504, 35, 953 is 1

2. Where do I get the detailed procedure to find GCD of 840, 504, 35, 953?

You can find a detailed procedure to find GCD of 840, 504, 35, 953 on our page.

3. How to find GCD of 840, 504, 35, 953 on a calculator?

You can find the GCD of 840, 504, 35, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.