GCD of 75, 740, 925, 434 Calculator

Given Input numbers are 75, 740, 925, 434

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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 75, 740, 925, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 740, 925, 434 is 1.

Therefore, GCD of numbers 75, 740, 925, 434 is 1

Given Input Data is 75, 740, 925, 434

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 434 is 2 x 7 x 31

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(75, 740) = 11100

GCD(75, 740) = ( 75 x 740 ) / 11100

GCD(75, 740) = 55500 / 11100

GCD(75, 740) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 925

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

LCM(5, 925) = 925

GCD(5, 925) = ( 5 x 925 ) / 925

GCD(5, 925) = 4625 / 925

GCD(5, 925) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 434

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

LCM(5, 434) = 2170

GCD(5, 434) = ( 5 x 434 ) / 2170

GCD(5, 434) = 2170 / 2170

GCD(5, 434) = 1

GCD of 75, 740, 925, 434 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 408, 993, 549
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• GCD of 65, 789, 906, 663
• GCD of 55, 930, 185, 524
• GCD of 48, 662, 553, 995

1. What is the GCD of 75, 740, 925, 434?

GCD of 75, 740, 925, 434 is 1

2. Where do I get the detailed procedure to find GCD of 75, 740, 925, 434?

You can find a detailed procedure to find GCD of 75, 740, 925, 434 on our page.

3. How to find GCD of 75, 740, 925, 434 on a calculator?

You can find the GCD of 75, 740, 925, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.