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 840, 957, 720, 352 i.e. 1 largest integer that divides all the numbers equally.
GCD of 840, 957, 720, 352 is 1
GCD(840, 957, 720, 352) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 840, 957, 720, 352 is 1
GCD(840, 957, 720, 352) = 1
Given Input numbers are 840, 957, 720, 352
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 840
List of positive integer divisors of 840 that divides 840 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 957
List of positive integer divisors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
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
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Greatest Common Divisior
We found the divisors of 840, 957, 720, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 957, 720, 352 is 1.
Therefore, GCD of numbers 840, 957, 720, 352 is 1
Given Input Data is 840, 957, 720, 352
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 957 is 3 x 11 x 29
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
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(840, 957) = 267960
GCD(840, 957) = ( 840 x 957 ) / 267960
GCD(840, 957) = 803880 / 267960
GCD(840, 957) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 720
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 720) = 720
GCD(3, 720) = ( 3 x 720 ) / 720
GCD(3, 720) = 2160 / 720
GCD(3, 720) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 352
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 352) = 1056
GCD(3, 352) = ( 3 x 352 ) / 1056
GCD(3, 352) = 1056 / 1056
GCD(3, 352) = 1
GCD of 840, 957, 720, 352 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 840, 957, 720, 352?
GCD of 840, 957, 720, 352 is 1
2. Where do I get the detailed procedure to find GCD of 840, 957, 720, 352?
You can find a detailed procedure to find GCD of 840, 957, 720, 352 on our page.
3. How to find GCD of 840, 957, 720, 352 on a calculator?
You can find the GCD of 840, 957, 720, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.