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, 761, 693, 737 i.e. 1 largest integer that divides all the numbers equally.
GCD of 705, 761, 693, 737 is 1
GCD(705, 761, 693, 737) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 705, 761, 693, 737 is 1
GCD(705, 761, 693, 737) = 1
Given Input numbers are 705, 761, 693, 737
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 761
List of positive integer divisors of 761 that divides 761 without a remainder.
1, 761
Divisors of 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Greatest Common Divisior
We found the divisors of 705, 761, 693, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 761, 693, 737 is 1.
Therefore, GCD of numbers 705, 761, 693, 737 is 1
Given Input Data is 705, 761, 693, 737
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 761 is 761
Prime Factorization of 693 is 3 x 3 x 7 x 11
Prime Factorization of 737 is 11 x 67
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, 761) = 536505
GCD(705, 761) = ( 705 x 761 ) / 536505
GCD(705, 761) = 536505 / 536505
GCD(705, 761) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 693
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 693) = 693
GCD(1, 693) = ( 1 x 693 ) / 693
GCD(1, 693) = 693 / 693
GCD(1, 693) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 737
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 737) = 737
GCD(1, 737) = ( 1 x 737 ) / 737
GCD(1, 737) = 737 / 737
GCD(1, 737) = 1
GCD of 705, 761, 693, 737 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 705, 761, 693, 737?
GCD of 705, 761, 693, 737 is 1
2. Where do I get the detailed procedure to find GCD of 705, 761, 693, 737?
You can find a detailed procedure to find GCD of 705, 761, 693, 737 on our page.
3. How to find GCD of 705, 761, 693, 737 on a calculator?
You can find the GCD of 705, 761, 693, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.