GCD of 952, 259, 35, 504 Calculator

Given Input numbers are 952, 259, 35, 504

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

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 35

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

1, 5, 7, 35

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

Greatest Common Divisior

We found the divisors of 952, 259, 35, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 259, 35, 504 is 7.

Therefore, GCD of numbers 952, 259, 35, 504 is 7

Given Input Data is 952, 259, 35, 504

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

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 259 is 7 x 37

Prime Factorization of 35 is 5 x 7

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

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(952, 259) = 35224

GCD(952, 259) = ( 952 x 259 ) / 35224

GCD(952, 259) = 246568 / 35224

GCD(952, 259) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 35

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

LCM(7, 35) = 35

GCD(7, 35) = ( 7 x 35 ) / 35

GCD(7, 35) = 245 / 35

GCD(7, 35) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 504

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

LCM(7, 504) = 504

GCD(7, 504) = ( 7 x 504 ) / 504

GCD(7, 504) = 3528 / 504

GCD(7, 504) = 7

GCD of 952, 259, 35, 504 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 171, 854, 96, 349
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• GCD of 472, 805, 87, 963
• GCD of 256, 648, 32, 142
• GCD of 793, 328, 70, 851

1. What is the GCD of 952, 259, 35, 504?

GCD of 952, 259, 35, 504 is 7

2. Where do I get the detailed procedure to find GCD of 952, 259, 35, 504?

You can find a detailed procedure to find GCD of 952, 259, 35, 504 on our page.

3. How to find GCD of 952, 259, 35, 504 on a calculator?

You can find the GCD of 952, 259, 35, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.