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 705, 345, 526, 850 i.e. 1 largest integer that divides all the numbers equally.
GCD of 705, 345, 526, 850 is 1
GCD(705, 345, 526, 850) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 705, 345, 526, 850 is 1
GCD(705, 345, 526, 850) = 1
Given Input numbers are 705, 345, 526, 850
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 526
List of positive integer divisors of 526 that divides 526 without a remainder.
1, 2, 263, 526
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Greatest Common Divisior
We found the divisors of 705, 345, 526, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 345, 526, 850 is 1.
Therefore, GCD of numbers 705, 345, 526, 850 is 1
Given Input Data is 705, 345, 526, 850
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 345 is 3 x 5 x 23
Prime Factorization of 526 is 2 x 263
Prime Factorization of 850 is 2 x 5 x 5 x 17
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(705, 345) = 16215
GCD(705, 345) = ( 705 x 345 ) / 16215
GCD(705, 345) = 243225 / 16215
GCD(705, 345) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 526
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 526) = 7890
GCD(15, 526) = ( 15 x 526 ) / 7890
GCD(15, 526) = 7890 / 7890
GCD(15, 526) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 850
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 850) = 850
GCD(1, 850) = ( 1 x 850 ) / 850
GCD(1, 850) = 850 / 850
GCD(1, 850) = 1
GCD of 705, 345, 526, 850 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 705, 345, 526, 850?
GCD of 705, 345, 526, 850 is 1
2. Where do I get the detailed procedure to find GCD of 705, 345, 526, 850?
You can find a detailed procedure to find GCD of 705, 345, 526, 850 on our page.
3. How to find GCD of 705, 345, 526, 850 on a calculator?
You can find the GCD of 705, 345, 526, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.