GCD of 77, 7, 79, 99 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 77, 7, 79, 99 i.e. 1 largest integer that divides all the numbers equally.
GCD of 77, 7, 79, 99 is 1
GCD(77, 7, 79, 99) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 77, 7, 79, 99 is 1
GCD(77, 7, 79, 99) = 1
GCDof 77,7,79,99 is 1
Given Input numbers are 77, 7, 79, 99
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 7
List of positive integer divisors of 7 that divides 7 without a remainder.
1, 7
Divisors of 79
List of positive integer divisors of 79 that divides 79 without a remainder.
1, 79
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Greatest Common Divisior
We found the divisors of 77, 7, 79, 99 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 7, 79, 99 is 1.
Therefore, GCD of numbers 77, 7, 79, 99 is 1
Given Input Data is 77, 7, 79, 99
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 77 is 7 x 11
Prime Factorization of 7 is 7
Prime Factorization of 79 is 79
Prime Factorization of 99 is 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 77, 7, 79, 99 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(77, 7) = 77
GCD(77, 7) = ( 77 x 7 ) / 77
GCD(77, 7) = 539 / 77
GCD(77, 7) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 79
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 79) = 553
GCD(7, 79) = ( 7 x 79 ) / 553
GCD(7, 79) = 553 / 553
GCD(7, 79) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
GCD of 77, 7, 79, 99 is 1
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 77, 7, 79, 99
1. What is the GCD of 77, 7, 79, 99?
GCD of 77, 7, 79, 99 is 1
2. Where do I get the detailed procedure to find GCD of 77, 7, 79, 99?
You can find a detailed procedure to find GCD of 77, 7, 79, 99 on our page.
3. How to find GCD of 77, 7, 79, 99 on a calculator?
You can find the GCD of 77, 7, 79, 99 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.