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 70, 754, 821, 885 i.e. 1 largest integer that divides all the numbers equally.
GCD of 70, 754, 821, 885 is 1
GCD(70, 754, 821, 885) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 70, 754, 821, 885 is 1
GCD(70, 754, 821, 885) = 1
Given Input numbers are 70, 754, 821, 885
To find the GCD of numbers using factoring list out all the divisors of each number
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 754
List of positive integer divisors of 754 that divides 754 without a remainder.
1, 2, 13, 26, 29, 58, 377, 754
Divisors of 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Divisors of 885
List of positive integer divisors of 885 that divides 885 without a remainder.
1, 3, 5, 15, 59, 177, 295, 885
Greatest Common Divisior
We found the divisors of 70, 754, 821, 885 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 754, 821, 885 is 1.
Therefore, GCD of numbers 70, 754, 821, 885 is 1
Given Input Data is 70, 754, 821, 885
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 754 is 2 x 13 x 29
Prime Factorization of 821 is 821
Prime Factorization of 885 is 3 x 5 x 59
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(70, 754) = 26390
GCD(70, 754) = ( 70 x 754 ) / 26390
GCD(70, 754) = 52780 / 26390
GCD(70, 754) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 821
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 821) = 1642
GCD(2, 821) = ( 2 x 821 ) / 1642
GCD(2, 821) = 1642 / 1642
GCD(2, 821) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 885
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 885) = 885
GCD(1, 885) = ( 1 x 885 ) / 885
GCD(1, 885) = 885 / 885
GCD(1, 885) = 1
GCD of 70, 754, 821, 885 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 70, 754, 821, 885?
GCD of 70, 754, 821, 885 is 1
2. Where do I get the detailed procedure to find GCD of 70, 754, 821, 885?
You can find a detailed procedure to find GCD of 70, 754, 821, 885 on our page.
3. How to find GCD of 70, 754, 821, 885 on a calculator?
You can find the GCD of 70, 754, 821, 885 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.