GCD of 91, 344, 720, 175 Calculator

Given Input numbers are 91, 344, 720, 175

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

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Greatest Common Divisior

We found the divisors of 91, 344, 720, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 91, 344, 720, 175 is 1.

Therefore, GCD of numbers 91, 344, 720, 175 is 1

Given Input Data is 91, 344, 720, 175

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

Prime Factorization of 91 is 7 x 13

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 175 is 5 x 5 x 7

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(91, 344) = 31304

GCD(91, 344) = ( 91 x 344 ) / 31304

GCD(91, 344) = 31304 / 31304

GCD(91, 344) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 720

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

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

GCD(1, 720) = 720 / 720

GCD(1, 720) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 175

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

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

GCD(1, 175) = 175 / 175

GCD(1, 175) = 1

GCD of 91, 344, 720, 175 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 414, 486, 310
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• GCD of 65, 135, 856, 184
• GCD of 78, 416, 862, 503
• GCD of 22, 402, 199, 713

1. What is the GCD of 91, 344, 720, 175?

GCD of 91, 344, 720, 175 is 1

2. Where do I get the detailed procedure to find GCD of 91, 344, 720, 175?

You can find a detailed procedure to find GCD of 91, 344, 720, 175 on our page.

3. How to find GCD of 91, 344, 720, 175 on a calculator?

You can find the GCD of 91, 344, 720, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.