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 464, 705, 35, 614 i.e. 1 largest integer that divides all the numbers equally.
GCD of 464, 705, 35, 614 is 1
GCD(464, 705, 35, 614) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 464, 705, 35, 614 is 1
GCD(464, 705, 35, 614) = 1
Given Input numbers are 464, 705, 35, 614
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
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 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 614
List of positive integer divisors of 614 that divides 614 without a remainder.
1, 2, 307, 614
Greatest Common Divisior
We found the divisors of 464, 705, 35, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 705, 35, 614 is 1.
Therefore, GCD of numbers 464, 705, 35, 614 is 1
Given Input Data is 464, 705, 35, 614
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 35 is 5 x 7
Prime Factorization of 614 is 2 x 307
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(464, 705) = 327120
GCD(464, 705) = ( 464 x 705 ) / 327120
GCD(464, 705) = 327120 / 327120
GCD(464, 705) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 35) = 35
GCD(1, 35) = ( 1 x 35 ) / 35
GCD(1, 35) = 35 / 35
GCD(1, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 614
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 614) = 614
GCD(1, 614) = ( 1 x 614 ) / 614
GCD(1, 614) = 614 / 614
GCD(1, 614) = 1
GCD of 464, 705, 35, 614 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 464, 705, 35, 614?
GCD of 464, 705, 35, 614 is 1
2. Where do I get the detailed procedure to find GCD of 464, 705, 35, 614?
You can find a detailed procedure to find GCD of 464, 705, 35, 614 on our page.
3. How to find GCD of 464, 705, 35, 614 on a calculator?
You can find the GCD of 464, 705, 35, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.