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 35, 616, 848, 926 i.e. 1 largest integer that divides all the numbers equally.
GCD of 35, 616, 848, 926 is 1
GCD(35, 616, 848, 926) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 35, 616, 848, 926 is 1
GCD(35, 616, 848, 926) = 1
Given Input numbers are 35, 616, 848, 926
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
Greatest Common Divisior
We found the divisors of 35, 616, 848, 926 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 616, 848, 926 is 1.
Therefore, GCD of numbers 35, 616, 848, 926 is 1
Given Input Data is 35, 616, 848, 926
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 35 is 5 x 7
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
Prime Factorization of 926 is 2 x 463
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(35, 616) = 3080
GCD(35, 616) = ( 35 x 616 ) / 3080
GCD(35, 616) = 21560 / 3080
GCD(35, 616) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 848
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 848) = 5936
GCD(7, 848) = ( 7 x 848 ) / 5936
GCD(7, 848) = 5936 / 5936
GCD(7, 848) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 926
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 926) = 926
GCD(1, 926) = ( 1 x 926 ) / 926
GCD(1, 926) = 926 / 926
GCD(1, 926) = 1
GCD of 35, 616, 848, 926 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 35, 616, 848, 926?
GCD of 35, 616, 848, 926 is 1
2. Where do I get the detailed procedure to find GCD of 35, 616, 848, 926?
You can find a detailed procedure to find GCD of 35, 616, 848, 926 on our page.
3. How to find GCD of 35, 616, 848, 926 on a calculator?
You can find the GCD of 35, 616, 848, 926 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.