GCD of 764, 742, 707, 840 Calculator

Given Input numbers are 764, 742, 707, 840

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

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Greatest Common Divisior

We found the divisors of 764, 742, 707, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 742, 707, 840 is 1.

Therefore, GCD of numbers 764, 742, 707, 840 is 1

Given Input Data is 764, 742, 707, 840

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

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 707 is 7 x 101

Prime Factorization of 840 is 2 x 2 x 2 x 3 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(764, 742) = 283444

GCD(764, 742) = ( 764 x 742 ) / 283444

GCD(764, 742) = 566888 / 283444

GCD(764, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 707

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

LCM(2, 707) = 1414

GCD(2, 707) = ( 2 x 707 ) / 1414

GCD(2, 707) = 1414 / 1414

GCD(2, 707) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

GCD of 764, 742, 707, 840 is 1

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1. What is the GCD of 764, 742, 707, 840?

GCD of 764, 742, 707, 840 is 1

2. Where do I get the detailed procedure to find GCD of 764, 742, 707, 840?

You can find a detailed procedure to find GCD of 764, 742, 707, 840 on our page.

3. How to find GCD of 764, 742, 707, 840 on a calculator?

You can find the GCD of 764, 742, 707, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.