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, 698, 369, 907 i.e. 1 largest integer that divides all the numbers equally.
GCD of 70, 698, 369, 907 is 1
GCD(70, 698, 369, 907) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 70, 698, 369, 907 is 1
GCD(70, 698, 369, 907) = 1
Given Input numbers are 70, 698, 369, 907
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 698
List of positive integer divisors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 907
List of positive integer divisors of 907 that divides 907 without a remainder.
1, 907
Greatest Common Divisior
We found the divisors of 70, 698, 369, 907 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 698, 369, 907 is 1.
Therefore, GCD of numbers 70, 698, 369, 907 is 1
Given Input Data is 70, 698, 369, 907
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 698 is 2 x 349
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 907 is 907
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, 698) = 24430
GCD(70, 698) = ( 70 x 698 ) / 24430
GCD(70, 698) = 48860 / 24430
GCD(70, 698) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 369
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 369) = 738
GCD(2, 369) = ( 2 x 369 ) / 738
GCD(2, 369) = 738 / 738
GCD(2, 369) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 907
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 907) = 907
GCD(1, 907) = ( 1 x 907 ) / 907
GCD(1, 907) = 907 / 907
GCD(1, 907) = 1
GCD of 70, 698, 369, 907 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 70, 698, 369, 907?
GCD of 70, 698, 369, 907 is 1
2. Where do I get the detailed procedure to find GCD of 70, 698, 369, 907?
You can find a detailed procedure to find GCD of 70, 698, 369, 907 on our page.
3. How to find GCD of 70, 698, 369, 907 on a calculator?
You can find the GCD of 70, 698, 369, 907 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.