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 946, 643, 356, 720 i.e. 1 largest integer that divides all the numbers equally.
GCD of 946, 643, 356, 720 is 1
GCD(946, 643, 356, 720) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 946, 643, 356, 720 is 1
GCD(946, 643, 356, 720) = 1
Given Input numbers are 946, 643, 356, 720
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Divisors of 643
List of positive integer divisors of 643 that divides 643 without a remainder.
1, 643
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Greatest Common Divisior
We found the divisors of 946, 643, 356, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 643, 356, 720 is 1.
Therefore, GCD of numbers 946, 643, 356, 720 is 1
Given Input Data is 946, 643, 356, 720
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 946 is 2 x 11 x 43
Prime Factorization of 643 is 643
Prime Factorization of 356 is 2 x 2 x 89
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
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(946, 643) = 608278
GCD(946, 643) = ( 946 x 643 ) / 608278
GCD(946, 643) = 608278 / 608278
GCD(946, 643) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 356
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 356) = 356
GCD(1, 356) = ( 1 x 356 ) / 356
GCD(1, 356) = 356 / 356
GCD(1, 356) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 720
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
GCD(1, 720) = 720 / 720
GCD(1, 720) = 1
GCD of 946, 643, 356, 720 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 946, 643, 356, 720?
GCD of 946, 643, 356, 720 is 1
2. Where do I get the detailed procedure to find GCD of 946, 643, 356, 720?
You can find a detailed procedure to find GCD of 946, 643, 356, 720 on our page.
3. How to find GCD of 946, 643, 356, 720 on a calculator?
You can find the GCD of 946, 643, 356, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.