GCD of 113, 892, 761 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 113, 892, 761 i.e. 1 largest integer that divides all the numbers equally.
GCD of 113, 892, 761 is 1
GCD(113, 892, 761) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 113, 892, 761 is 1
GCD(113, 892, 761) = 1
GCDof 113,892,761 is 1
Given Input numbers are 113, 892, 761
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Divisors of 892
List of positive integer divisors of 892 that divides 892 without a remainder.
1, 2, 4, 223, 446, 892
Divisors of 761
List of positive integer divisors of 761 that divides 761 without a remainder.
1, 761
Greatest Common Divisior
We found the divisors of 113, 892, 761 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 892, 761 is 1.
Therefore, GCD of numbers 113, 892, 761 is 1
Given Input Data is 113, 892, 761
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 113 is 113
Prime Factorization of 892 is 2 x 2 x 223
Prime Factorization of 761 is 761
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 113, 892, 761 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(113, 892) = 100796
GCD(113, 892) = ( 113 x 892 ) / 100796
GCD(113, 892) = 100796 / 100796
GCD(113, 892) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 761
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 761) = 761
GCD(1, 761) = ( 1 x 761 ) / 761
GCD(1, 761) = 761 / 761
GCD(1, 761) = 1
GCD of 113, 892, 761 is 1
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FAQs on GCD of numbers 113, 892, 761
1. What is the GCD of 113, 892, 761?
GCD of 113, 892, 761 is 1
2. Where do I get the detailed procedure to find GCD of 113, 892, 761?
You can find a detailed procedure to find GCD of 113, 892, 761 on our page.
3. How to find GCD of 113, 892, 761 on a calculator?
You can find the GCD of 113, 892, 761 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.