GCD of 740, 988, 762, 801 Calculator

Given Input numbers are 740, 988, 762, 801

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

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 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Greatest Common Divisior

We found the divisors of 740, 988, 762, 801 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 988, 762, 801 is 1.

Therefore, GCD of numbers 740, 988, 762, 801 is 1

Given Input Data is 740, 988, 762, 801

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

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

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 801 is 3 x 3 x 89

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(740, 988) = 182780

GCD(740, 988) = ( 740 x 988 ) / 182780

GCD(740, 988) = 731120 / 182780

GCD(740, 988) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 762

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

LCM(4, 762) = 1524

GCD(4, 762) = ( 4 x 762 ) / 1524

GCD(4, 762) = 3048 / 1524

GCD(4, 762) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 801

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

LCM(2, 801) = 1602

GCD(2, 801) = ( 2 x 801 ) / 1602

GCD(2, 801) = 1602 / 1602

GCD(2, 801) = 1

GCD of 740, 988, 762, 801 is 1

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1. What is the GCD of 740, 988, 762, 801?

GCD of 740, 988, 762, 801 is 1

2. Where do I get the detailed procedure to find GCD of 740, 988, 762, 801?

You can find a detailed procedure to find GCD of 740, 988, 762, 801 on our page.

3. How to find GCD of 740, 988, 762, 801 on a calculator?

You can find the GCD of 740, 988, 762, 801 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.