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 742, 503, 70 i.e. 1 largest integer that divides all the numbers equally.
GCD of 742, 503, 70 is 1
GCD(742, 503, 70) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 742, 503, 70 is 1
GCD(742, 503, 70) = 1
Given Input numbers are 742, 503, 70
To find the GCD of numbers using factoring list out all the divisors of each number
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 503
List of positive integer divisors of 503 that divides 503 without a remainder.
1, 503
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Greatest Common Divisior
We found the divisors of 742, 503, 70 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 503, 70 is 1.
Therefore, GCD of numbers 742, 503, 70 is 1
Given Input Data is 742, 503, 70
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 742 is 2 x 7 x 53
Prime Factorization of 503 is 503
Prime Factorization of 70 is 2 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(742, 503) = 373226
GCD(742, 503) = ( 742 x 503 ) / 373226
GCD(742, 503) = 373226 / 373226
GCD(742, 503) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 70) = 70
GCD(1, 70) = ( 1 x 70 ) / 70
GCD(1, 70) = 70 / 70
GCD(1, 70) = 1
GCD of 742, 503, 70 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 742, 503, 70?
GCD of 742, 503, 70 is 1
2. Where do I get the detailed procedure to find GCD of 742, 503, 70?
You can find a detailed procedure to find GCD of 742, 503, 70 on our page.
3. How to find GCD of 742, 503, 70 on a calculator?
You can find the GCD of 742, 503, 70 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.