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, 462, 987, 425 i.e. 1 largest integer that divides all the numbers equally.
GCD of 464, 462, 987, 425 is 1
GCD(464, 462, 987, 425) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 464, 462, 987, 425 is 1
GCD(464, 462, 987, 425) = 1
Given Input numbers are 464, 462, 987, 425
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 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
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 464, 462, 987, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 462, 987, 425 is 1.
Therefore, GCD of numbers 464, 462, 987, 425 is 1
Given Input Data is 464, 462, 987, 425
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 462 is 2 x 3 x 7 x 11
Prime Factorization of 987 is 3 x 7 x 47
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(464, 462) = 107184
GCD(464, 462) = ( 464 x 462 ) / 107184
GCD(464, 462) = 214368 / 107184
GCD(464, 462) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 987
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 987) = 1974
GCD(2, 987) = ( 2 x 987 ) / 1974
GCD(2, 987) = 1974 / 1974
GCD(2, 987) = 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 464, 462, 987, 425 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 464, 462, 987, 425?
GCD of 464, 462, 987, 425 is 1
2. Where do I get the detailed procedure to find GCD of 464, 462, 987, 425?
You can find a detailed procedure to find GCD of 464, 462, 987, 425 on our page.
3. How to find GCD of 464, 462, 987, 425 on a calculator?
You can find the GCD of 464, 462, 987, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.