GCD of 896, 175, 501 Calculator
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 896, 175, 501 i.e. 1 largest integer that divides all the numbers equally.
GCD of 896, 175, 501 is 1
GCD(896, 175, 501) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 896, 175, 501 is 1
GCD(896, 175, 501) = 1
GCDof 896,175,501 is 1
Given Input numbers are 896, 175, 501
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 896
List of positive integer divisors of 896 that divides 896 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Greatest Common Divisior
We found the divisors of 896, 175, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 175, 501 is 1.
Therefore, GCD of numbers 896, 175, 501 is 1
Given Input Data is 896, 175, 501
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 175 is 5 x 5 x 7
Prime Factorization of 501 is 3 x 167
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 896, 175, 501 using LCM Formula
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(896, 175) = 22400
GCD(896, 175) = ( 896 x 175 ) / 22400
GCD(896, 175) = 156800 / 22400
GCD(896, 175) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 501
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 501) = 3507
GCD(7, 501) = ( 7 x 501 ) / 3507
GCD(7, 501) = 3507 / 3507
GCD(7, 501) = 1
GCD of 896, 175, 501 is 1
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FAQs on GCD of numbers 896, 175, 501
1. What is the GCD of 896, 175, 501?
GCD of 896, 175, 501 is 1
2. Where do I get the detailed procedure to find GCD of 896, 175, 501?
You can find a detailed procedure to find GCD of 896, 175, 501 on our page.
3. How to find GCD of 896, 175, 501 on a calculator?
You can find the GCD of 896, 175, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.