GCD of 400, 740, 760, 737 Calculator

Given Input numbers are 400, 740, 760, 737

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

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

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 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Greatest Common Divisior

We found the divisors of 400, 740, 760, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 740, 760, 737 is 1.

Therefore, GCD of numbers 400, 740, 760, 737 is 1

Given Input Data is 400, 740, 760, 737

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

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 737 is 11 x 67

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(400, 740) = 14800

GCD(400, 740) = ( 400 x 740 ) / 14800

GCD(400, 740) = 296000 / 14800

GCD(400, 740) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 760

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

LCM(20, 760) = 760

GCD(20, 760) = ( 20 x 760 ) / 760

GCD(20, 760) = 15200 / 760

GCD(20, 760) = 20

Step3:

Here we consider the GCD from the above i.e. 20 as first number and the next as 737

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

LCM(20, 737) = 14740

GCD(20, 737) = ( 20 x 737 ) / 14740

GCD(20, 737) = 14740 / 14740

GCD(20, 737) = 1

GCD of 400, 740, 760, 737 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 568, 293, 851, 260
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• GCD of 907, 828, 596, 738

1. What is the GCD of 400, 740, 760, 737?

GCD of 400, 740, 760, 737 is 1

2. Where do I get the detailed procedure to find GCD of 400, 740, 760, 737?

You can find a detailed procedure to find GCD of 400, 740, 760, 737 on our page.

3. How to find GCD of 400, 740, 760, 737 on a calculator?

You can find the GCD of 400, 740, 760, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.