GCD of 807, 642, 70, 746 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 807, 642, 70, 746 i.e. 1 largest integer that divides all the numbers equally.

GCD of 807, 642, 70, 746 is 1

GCD(807, 642, 70, 746) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 807, 642, 70, 746 is 1

GCD(807, 642, 70, 746) = 1

GCD of 807,642,70,746 Calculator

GCDof 807,642,70,746 is 1

Given Input numbers are 807, 642, 70, 746

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

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 807, 642, 70, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 807, 642, 70, 746 is 1.

Therefore, GCD of numbers 807, 642, 70, 746 is 1

Finding GCD of 807, 642, 70, 746 using Prime Factorization

Given Input Data is 807, 642, 70, 746

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

Prime Factorization of 807 is 3 x 269

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 746 is 2 x 373

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 807, 642, 70, 746 using LCM Formula

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(807, 642) = 172698

GCD(807, 642) = ( 807 x 642 ) / 172698

GCD(807, 642) = 518094 / 172698

GCD(807, 642) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 70

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

LCM(3, 70) = 210

GCD(3, 70) = ( 3 x 70 ) / 210

GCD(3, 70) = 210 / 210

GCD(3, 70) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 746

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

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

GCD(1, 746) = 746 / 746

GCD(1, 746) = 1

GCD of 807, 642, 70, 746 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 807, 642, 70, 746

1. What is the GCD of 807, 642, 70, 746?

GCD of 807, 642, 70, 746 is 1


2. Where do I get the detailed procedure to find GCD of 807, 642, 70, 746?

You can find a detailed procedure to find GCD of 807, 642, 70, 746 on our page.


3. How to find GCD of 807, 642, 70, 746 on a calculator?

You can find the GCD of 807, 642, 70, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.