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 960, 642, 743, 425 i.e. 1 largest integer that divides all the numbers equally.
GCD of 960, 642, 743, 425 is 1
GCD(960, 642, 743, 425) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 960, 642, 743, 425 is 1
GCD(960, 642, 743, 425) = 1
Given Input numbers are 960, 642, 743, 425
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
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 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Greatest Common Divisior
We found the divisors of 960, 642, 743, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 642, 743, 425 is 1.
Therefore, GCD of numbers 960, 642, 743, 425 is 1
Given Input Data is 960, 642, 743, 425
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 743 is 743
Prime Factorization of 425 is 5 x 5 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(960, 642) = 102720
GCD(960, 642) = ( 960 x 642 ) / 102720
GCD(960, 642) = 616320 / 102720
GCD(960, 642) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 743
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 743) = 4458
GCD(6, 743) = ( 6 x 743 ) / 4458
GCD(6, 743) = 4458 / 4458
GCD(6, 743) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 425
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 425) = 425
GCD(1, 425) = ( 1 x 425 ) / 425
GCD(1, 425) = 425 / 425
GCD(1, 425) = 1
GCD of 960, 642, 743, 425 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 960, 642, 743, 425?
GCD of 960, 642, 743, 425 is 1
2. Where do I get the detailed procedure to find GCD of 960, 642, 743, 425?
You can find a detailed procedure to find GCD of 960, 642, 743, 425 on our page.
3. How to find GCD of 960, 642, 743, 425 on a calculator?
You can find the GCD of 960, 642, 743, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.