GCD of 952, 592, 704, 705 Calculator

Given Input numbers are 952, 592, 704, 705

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 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 952, 592, 704, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 592, 704, 705 is 1.

Therefore, GCD of numbers 952, 592, 704, 705 is 1

Given Input Data is 952, 592, 704, 705

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 592 is 2 x 2 x 2 x 2 x 37

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

Prime Factorization of 705 is 3 x 5 x 47

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(952, 592) = 70448

GCD(952, 592) = ( 952 x 592 ) / 70448

GCD(952, 592) = 563584 / 70448

GCD(952, 592) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 704

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

LCM(8, 704) = 704

GCD(8, 704) = ( 8 x 704 ) / 704

GCD(8, 704) = 5632 / 704

GCD(8, 704) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 705

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

LCM(8, 705) = 5640

GCD(8, 705) = ( 8 x 705 ) / 5640

GCD(8, 705) = 5640 / 5640

GCD(8, 705) = 1

GCD of 952, 592, 704, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 283, 935, 185, 575
• GCD of 841, 473, 450, 162
• GCD of 739, 279, 905, 717
• GCD of 414, 470, 826, 449
• GCD of 354, 157, 947, 852

1. What is the GCD of 952, 592, 704, 705?

GCD of 952, 592, 704, 705 is 1

2. Where do I get the detailed procedure to find GCD of 952, 592, 704, 705?

You can find a detailed procedure to find GCD of 952, 592, 704, 705 on our page.

3. How to find GCD of 952, 592, 704, 705 on a calculator?

You can find the GCD of 952, 592, 704, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.