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, 763, 55, 476 i.e. 1 largest integer that divides all the numbers equally.
GCD of 705, 763, 55, 476 is 1
GCD(705, 763, 55, 476) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 705, 763, 55, 476 is 1
GCD(705, 763, 55, 476) = 1
Given Input numbers are 705, 763, 55, 476
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 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 476
List of positive integer divisors of 476 that divides 476 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Greatest Common Divisior
We found the divisors of 705, 763, 55, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 763, 55, 476 is 1.
Therefore, GCD of numbers 705, 763, 55, 476 is 1
Given Input Data is 705, 763, 55, 476
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 763 is 7 x 109
Prime Factorization of 55 is 5 x 11
Prime Factorization of 476 is 2 x 2 x 7 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, 763) = 537915
GCD(705, 763) = ( 705 x 763 ) / 537915
GCD(705, 763) = 537915 / 537915
GCD(705, 763) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 55) = 55
GCD(1, 55) = ( 1 x 55 ) / 55
GCD(1, 55) = 55 / 55
GCD(1, 55) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 476
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 476) = 476
GCD(1, 476) = ( 1 x 476 ) / 476
GCD(1, 476) = 476 / 476
GCD(1, 476) = 1
GCD of 705, 763, 55, 476 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 705, 763, 55, 476?
GCD of 705, 763, 55, 476 is 1
2. Where do I get the detailed procedure to find GCD of 705, 763, 55, 476?
You can find a detailed procedure to find GCD of 705, 763, 55, 476 on our page.
3. How to find GCD of 705, 763, 55, 476 on a calculator?
You can find the GCD of 705, 763, 55, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.