GCD of 368, 384, 70, 975 Calculator

Given Input numbers are 368, 384, 70, 975

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

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Greatest Common Divisior

We found the divisors of 368, 384, 70, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 384, 70, 975 is 1.

Therefore, GCD of numbers 368, 384, 70, 975 is 1

Given Input Data is 368, 384, 70, 975

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

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 975 is 3 x 5 x 5 x 13

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(368, 384) = 8832

GCD(368, 384) = ( 368 x 384 ) / 8832

GCD(368, 384) = 141312 / 8832

GCD(368, 384) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 70

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

LCM(16, 70) = 560

GCD(16, 70) = ( 16 x 70 ) / 560

GCD(16, 70) = 1120 / 560

GCD(16, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 975

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

LCM(2, 975) = 1950

GCD(2, 975) = ( 2 x 975 ) / 1950

GCD(2, 975) = 1950 / 1950

GCD(2, 975) = 1

GCD of 368, 384, 70, 975 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 448, 236, 77, 209
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• GCD of 554, 737, 70, 993
• GCD of 411, 193, 53, 528
• GCD of 868, 282, 20, 670

1. What is the GCD of 368, 384, 70, 975?

GCD of 368, 384, 70, 975 is 1

2. Where do I get the detailed procedure to find GCD of 368, 384, 70, 975?

You can find a detailed procedure to find GCD of 368, 384, 70, 975 on our page.

3. How to find GCD of 368, 384, 70, 975 on a calculator?

You can find the GCD of 368, 384, 70, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.