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 642, 476, 966, 709 i.e. 1 largest integer that divides all the numbers equally.
GCD of 642, 476, 966, 709 is 1
GCD(642, 476, 966, 709) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 642, 476, 966, 709 is 1
GCD(642, 476, 966, 709) = 1
Given Input numbers are 642, 476, 966, 709
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
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
Divisors of 966
List of positive integer divisors of 966 that divides 966 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Greatest Common Divisior
We found the divisors of 642, 476, 966, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 476, 966, 709 is 1.
Therefore, GCD of numbers 642, 476, 966, 709 is 1
Given Input Data is 642, 476, 966, 709
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 476 is 2 x 2 x 7 x 17
Prime Factorization of 966 is 2 x 3 x 7 x 23
Prime Factorization of 709 is 709
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(642, 476) = 152796
GCD(642, 476) = ( 642 x 476 ) / 152796
GCD(642, 476) = 305592 / 152796
GCD(642, 476) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 966
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 966) = 966
GCD(2, 966) = ( 2 x 966 ) / 966
GCD(2, 966) = 1932 / 966
GCD(2, 966) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 709
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 709) = 1418
GCD(2, 709) = ( 2 x 709 ) / 1418
GCD(2, 709) = 1418 / 1418
GCD(2, 709) = 1
GCD of 642, 476, 966, 709 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 642, 476, 966, 709?
GCD of 642, 476, 966, 709 is 1
2. Where do I get the detailed procedure to find GCD of 642, 476, 966, 709?
You can find a detailed procedure to find GCD of 642, 476, 966, 709 on our page.
3. How to find GCD of 642, 476, 966, 709 on a calculator?
You can find the GCD of 642, 476, 966, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.