GCD of 357, 952, 550, 704 Calculator

Given Input numbers are 357, 952, 550, 704

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

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

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 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 357, 952, 550, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 952, 550, 704 is 1.

Therefore, GCD of numbers 357, 952, 550, 704 is 1

Given Input Data is 357, 952, 550, 704

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

Prime Factorization of 357 is 3 x 7 x 17

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

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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(357, 952) = 2856

GCD(357, 952) = ( 357 x 952 ) / 2856

GCD(357, 952) = 339864 / 2856

GCD(357, 952) = 119

Step2:

Here we consider the GCD from the above i.e. 119 as first number and the next as 550

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

LCM(119, 550) = 65450

GCD(119, 550) = ( 119 x 550 ) / 65450

GCD(119, 550) = 65450 / 65450

GCD(119, 550) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 357, 952, 550, 704 is 1

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1. What is the GCD of 357, 952, 550, 704?

GCD of 357, 952, 550, 704 is 1

2. Where do I get the detailed procedure to find GCD of 357, 952, 550, 704?

You can find a detailed procedure to find GCD of 357, 952, 550, 704 on our page.

3. How to find GCD of 357, 952, 550, 704 on a calculator?

You can find the GCD of 357, 952, 550, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.